Spectral Theory and Operator Algebra

[1] The Grothendieck Ring of a Family of Spherical Categories

Zhengwei Liu Christopher Ryba

Category Theory Mathematical Physics Quantum Algebra Representation Theory Spectral Theory and Operator Algebra mathscidoc:2207.04005

2020.7
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[2] Yang-Baxter relation planar algebras

Zhengwei Liu Harvard University, Cambridge, MA 02138

Mathematical Physics Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2207.22007

2016.4
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[3] Fusion bialgebras and Fourier analysis: Analytic obstructions for unitary categorification

Zhengwei Liu Yau Mathematical Sciences Center and Department of Mathematics, Tsinghua University, Beijing, 100084, China; Beijing Institute of Mathematical Sciences and Applications, Huairou District, Beijing, 101408, China Sebastien Palcoux Beijing Institute of Mathematical Sciences and Applications, Huairou District, Beijing, 101408, China Jinsong Wu Institute for Advanced Study in Mathematics, Harbin Institute of Technology, Harbin, 150001, China

Category Theory Functional Analysis Quantum Algebra Rings and Algebras Spectral Theory and Operator Algebra mathscidoc:2207.04003

Advances in Mathematics, 390, 107905, 2021.10
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[4] Antisymmetric characters and Fourier duality

Zhengwei Liu Harvard University, Cambridge, USA Jinsong Wu IASM, Harbin Institute of Technology and Harvard University, Harbin, China

Mathematical Physics Quantum Algebra Representation Theory Spectral Theory and Operator Algebra mathscidoc:2207.22006

Communications in Mathematical Physics, 384, 77-108, 2021.4
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[5] Non-Commutative R´enyi entropic uncertainty principles

Zhengwei Liu Department of Mathematics and Department of Physics, Harvard University, Cambridge, MA, 02138, USA Jinsong Wu Institute of Advanced Study in Mathematics, Harbin Institute of Technology, Harbin, 150001, China

Spectral Theory and Operator Algebra mathscidoc:2207.32002

Science China Mathematics, 63, 2287–2298, 2020.4
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[6] De Finetti theorems for braided parafermions

Kaifeng Bu Harvard University, Cambridge, MA, 02138, USA; Zhejiang University, Hangzhou, China Arthur Jaffe Harvard University, Cambridge, MA, 02138, USA Zhengwei Liu Harvard University, Cambridge, MA, 02138, USA; Tsinghua University, Beijing, China Jinsong Wu Harvard University, Cambridge, MA, 02138, USA; Harbin Institute of Technology, Harbin, China

Functional Analysis Mathematical Physics Probability Spectral Theory and Operator Algebra mathscidoc:2207.12005

Communications in Mathematical Physics, 373, 435–456, 2019.10
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[7] Lifting shadings on symmetrically self-dual subfactor planar algebras

Zhengwei Liu Scott Morrison David Penneys

Category Theory Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2207.04002

Contemporary Mathematics, 747, 2020.7
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[8] Classification of Thurston-relation subfactor planar algebras

Corey Jones Ohio State University, Columbus, USA Zhengwei Liu Harvard University, Cambridge, USA Yunxiang Ren Harvard University, Cambridge, USA

Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2207.29002

European Mathematical Society, 10, (3), 441-480, 2019.9
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[9] Quon language: surface algebras and Fourier duality

Zhengwei Liu Departments of Mathematics and of Physics, Harvard University, Cambridge, USA

Mathematical Physics Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2207.22003

Communications in Mathematical Physics, 366, 865–894, 2019.3
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[10] Block maps and Fourier analysis

Chunlan Jiang Department of Mathematics, Hebei Normal University, Shijiazhuang 050024, China Zhengwei Liu Department of Physics and Department of Mathematics, Harvard University, Cambridge, MA 02138, USA Jinsong Wu Institute for Advanced Study in Mathematics, Harbin Institute of Technology, Harbin 150001, China

Spectral Theory and Operator Algebra mathscidoc:2207.32001

Science China Mathematics, 62, (8), 1585, 2019.7
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[11] Holographic software for quantum networks

Arthur Jaffe Departments of Mathematics and Physics, Harvard University, Cambridge, MA, 02138, USA Zhengwei Liu Departments of Mathematics and Physics, Harvard University, Cambridge, MA, 02138, USA Alex Wozniakowski Present address: Current address: School of Physical and Mathematical Sciences and Complexity Institute, Nanyang Technological University, Singapore, 637723, Singapore; Departments of Mathematics and Physics, Harvard University, Cambridge, MA, 02138, USA

Mathematical Physics Quantum Algebra Spectral Theory and Operator Algebra arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2207.22002

Science China Mathematics, 61, 593–626, 2018.2
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[12] Young's inequality for locally compact quantum groups

Zhengwei Liu Department of Mathematics and Department of Physics, Harvard University, Cambridge, 02138, U.S.A. Simeng Wang Laboratoire de Mathematiques, Universite de Franche -Comte, Besancon Cedex, 25030, France and Institute of Mathematics, Polish Academy of Sciences, ul. Sniadeckin 8, 00-956 Warszawa, Poland Jinsong Wu School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, P.R. China

Spectral Theory and Operator Algebra mathscidoc:2206.32001

Journal of Operator Theory, 77, (1), 109-131, 2017.12
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[13] Uncertainty principles for Kac algebras

Zhengwei Liu Department of Mathematics and Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA Jinsong Wu School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui 230026, China

Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2206.29005

Journal of Mathematical Physics, 58, 052102, 2017.5
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[14] Singly generated planar algebras of small dimension, Part III

Dietmar Bisch Department of Mathematics, Vanderbilt University, Nashville TN 37235 Vaughan F. R. Jones Department of Mathematics, Vanderbilt University, Nashville TN 37235 Zhengwei Liu Department of Mathematics, Vanderbilt University, Nashville TN 37235

Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2206.29004

Transactions of the American Mathematical Society, 369, (4), 2461–2476, 2016.7
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[15] Exchange relation planar algebras of small rank

Zhengwei Liu Department of Mathematics, Vanderbilt University, Nashville TN 37235

Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2206.29002

Transactions of the American Mathematical Society, 368, (12), 8303–8348, 2017.12
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[16] 1-Supertransitive Subfactors with Index at Most 6+1/5

Zhengwei Liu Vanderbilt University, Nashville, USA Scott Morrison Mathematical Sciences Institute, Australian National University, Canberra, Australia David Penneys University of California, Los Angeles, USA

Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2206.29001

Communications in Mathematical Physics, 334, 889–922, 2014.9
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[17] Categorical extensions of conformal nets

Bin Gui Department of Mathematics, Rutgers University, New Brunswick, NJ, USA

Category Theory Spectral Theory and Operator Algebra mathscidoc:2203.04001

Communications in Mathematical Physics, 383, (2), 763-839, 2020.11
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[18] The number of closed ideals in L(L_p)

William B. Johnson Department of Mathematics, Texas A&M University, College Station, Tx., U.S.A. Gideon Schechtman Department of Mathematics, Weizmann Institute of Science, Rehovot, Israel

Functional Analysis Spectral Theory and Operator Algebra mathscidoc:2203.12001

Acta Mathematica, 227, (1), 103-113, 2021.11
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[19] Uncertainty principles for locally compact quantum groups

Chunlan Jiang Zhengwei Liu Jinsong Wu

Spectral Theory and Operator Algebra mathscidoc:1912.431049

Journal of Functional Analysis, 274, (8), 2399-2445, 2018.4
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[20] Jones-Wassermann subfactors for modular tensor categories

Zhengwei Liu Feng Xu

Spectral Theory and Operator Algebra mathscidoc:1912.431048

Advances in Mathematics, 355, 106775, 2019.10
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[21] Composed inclusions of A3 and A4 subfactors

Zhengwei Liu

Spectral Theory and Operator Algebra mathscidoc:1912.431047

Advances in Mathematics, 279, 307-371, 2015.7
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[22] Noncommutative uncertainty principles

Chunlan Jiang Zhengwei Liu Jinsong Wu

Spectral Theory and Operator Algebra mathscidoc:1912.431046

Journal of Functional Analysis, 270, (1), 264-311, 2016.1
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[23] Time-dependent HermiteGalerkin spectral method and its applications

Xue Luo Shing-Tung Yau Stephen S-T Yau

Spectral Theory and Operator Algebra mathscidoc:1912.43658

Applied Mathematics and Computation, 264, 378-391
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[24] Maximizing Riesz means of anisotropic harmonic oscillators

Simon Larson KTH Royal Institute of Technology

Spectral Theory and Operator Algebra mathscidoc:1912.43033

Arkiv for Matematik, 57, (1), 129-155, 2019
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[25] On the spectrum of the multiplicative Hilbert matrix

Karl-Mikael Perfekt University of Reading Alexander Pushnitski King’s College London

Spectral Theory and Operator Algebra mathscidoc:1912.43010

Arkiv for Matematik, 56, (1), 163 – 183, 2018
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[26] Optimal stretching for lattice points and eigenvalues

Richard S. Laugesen University of Illinois Shiya Liu University of Illinois

Spectral Theory and Operator Algebra mathscidoc:1912.43008

Arkiv for Matematik, 56, (1), 111-145, 2018
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[27] Some characterizations for SOC-monotone and SOC-convex functions

Jein-Shan Chen Xin Chen Shaohua Pan Jiawei Zhang

Spectral Theory and Operator Algebra mathscidoc:1910.43892

Journal of Global Optimization, 45, (2), 259-279, 2009.10
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[28] The positive contractive part of a noncommutative Lp-space is a complete Jordan invariant

Chi-Wai Leung Chi-Keung Ng Ngai-Ching Wong

Spectral Theory and Operator Algebra mathscidoc:1910.43712

Linear Algebra and its Applications, 519, 102-110, 2017.4
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[29] Local automorphisms of operator algebras

Jung-Hui Liu Ngai-Ching Wong

Spectral Theory and Operator Algebra mathscidoc:1910.43697

Taiwanese Journal of Mathematics, 611-619
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[30] Approximate controllability for systems governed by nonlinear Volterra type equations

Tran Dinh Ke Valeri Obukhovskii Ngai-Ching Wong Jen-Chih Yao

Spectral Theory and Operator Algebra mathscidoc:1910.43667

Differential Equations and Dynamical Systems, 20, (1), 35-52, 2012.1
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[31] On a class of fractional order differential inclusions with infinite delays

Tran Dinh Ke Valeri Obukhovskii Ngai-Ching Wong Jen-Chih Yao

Spectral Theory and Operator Algebra mathscidoc:1910.43657

Applicable Analysis, 92, (1), 115-137, 2013.1
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[32] On the solution existence of generalized quasivariational inequalities with discontinuous multifunctions

Bui Trong Kien Ngai-Ching Wong Jen-Chih Yao

Spectral Theory and Operator Algebra mathscidoc:1910.43651

Journal of Optimization Theory and Applications, 135, (3), 515-530, 2007.12
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[33] Ishikawa iteration with errors for approximating fixed points of strictly pseudocontractive mappings of Browder-Petryshyn type

LC Zeng GM Lee Ngai-Ching Wong

Spectral Theory and Operator Algebra mathscidoc:1910.43647

Taiwanese Journal of Mathematics, 10, (1), 87-99, 2006
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[34] 2-Local automorphisms of operator algebras

Jung-Hui Liu Ngai-Ching Wong

Spectral Theory and Operator Algebra mathscidoc:1910.43646

Journal of mathematical analysis and applications, 321, (2), 741-750, 2006.9
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[35] Invertibility and Fredholmness of linear combinations of quadratic, k-potent and nilpotent operators

Hwa-Long Gau Chih-Jen Wang Ngai-Ching Wong

Spectral Theory and Operator Algebra mathscidoc:1910.43644

Operators and Matrices, 2, (2), 193-199, 2008.1
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[36] Biseparating linear maps between continuous vector-valued function spaces

Haw-Long Gau Jyh-Shyang Jeang Ngai-Ching Wong

Spectral Theory and Operator Algebra mathscidoc:1910.43633

Journal of the Australian Mathematical Society, 74, (1), 101-110, 2003.2
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[37] On the spectrum of narrow Neumann waveguide with periodically distributed\delta\prime traps

Pavel Exner Andrii Khrabustovskyi

Spectral Theory and Operator Algebra mathscidoc:1910.43301

Journal of Physics A Mathematical General, 48, 2015.8
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[38] Spectral asymptotics of the Dirichlet Laplacian on a generalized parabolic layer

Pavel Exner Vladimir Lotoreichik

Spectral Theory and Operator Algebra mathscidoc:1910.43294

arXiv preprint arXiv:1805.12448, 2020.5
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[39] On the spectrum of leaky surfaces with a potential bias

Pavel Exner

Spectral Theory and Operator Algebra mathscidoc:1910.43265

arXiv preprint arXiv:1701.06288, 2017.1
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[40] Spectral and resonance properties of the Smilansky Hamiltonian

Pavel Exner Vladimir Lotoreichik Milo Tater

Spectral Theory and Operator Algebra mathscidoc:1910.43245

Physics Letters A, 381, (8), 756-761, 2017.2
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[41] Cantor spectra of magnetic chain graphs

Pavel Exner Daniel Vaata

Spectral Theory and Operator Algebra mathscidoc:1910.43244

Journal of Physics A: Mathematical and Theoretical, 50, (16), 165201, 2017.3
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[42] A regular analogue of the Smilansky model: spectral properties

Diana Barseghyan Pavel Exner

Spectral Theory and Operator Algebra mathscidoc:1910.43229

Reports on Mathematical Physics, 80, (2), 177-192, 2017.10
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[43] Optimization of the lowest eigenvalue for leaky star graphs

Pavel Exner Vladimir Lotoreichik

Spectral Theory and Operator Algebra mathscidoc:1910.43228

Proceedings of the conference Mathematical Results in Quantum Physics(QMath13, Atlanta 2016, 187-196, 2016.10
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[44] A bound for the eigenvalue counting function for higher-order Krein Laplacians on open sets

Fritz Gesztesy Pavel Exner S Sukhtaiev A Laptev

Spectral Theory and Operator Algebra mathscidoc:1910.43219

3-29, 2015
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[45] Spectral analysis of a class of Schrdinger operators exhibiting a parameter-dependent spectral transition

Diana Barseghyan Pavel Exner Andrii Khrabustovskyi Milo Tater

Spectral Theory and Operator Algebra mathscidoc:1910.43216

Journal of Physics A: Mathematical and Theoretical, 49, (16), 165302, 2016.3
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[46] Generalized interactions supported on hypersurfaces

Pavel Exner Jonathan Rohleder

Spectral Theory and Operator Algebra mathscidoc:1910.43148

Journal of Mathematical Physics, 57, (4), 041507, 2016.4
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[47] A Wozniakowski, and AM Jaffe, Quon 3D language for quantum information

Zhengwei Liu Harvard University, Vanderbilt University Alex Wozniakowski Harvard University Arthur M. Jaffe Harvard University

Mathematical Physics Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:1705.22001

Distinguished Paper Award in 2017

PNAS, 114, (10), 2497-2502, 2017
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[48] Composed inclusions of A3 and A4subfactors

ZhengweiLiu Vanderbilt University

Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:1705.29001

Distinguished Paper Award in 2017

AdvancesinMathematics, 279, 307–371, 2015
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[49] Entropy, determinants, and L^2-torsion

Hanfeng Li Chongqing University, SUNY at Buffalo Andreas Thom TU Dresden

Dynamical Systems Spectral Theory and Operator Algebra mathscidoc:1704.02001

Distinguished Paper Award in 2018

J. Amer. Math. Soc., 27, (1), 239--292, 2014
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[50] Spectral property of self-affine measures on Rn

Jing-Cheng Liu Hunan Normal University Jun Luo Chongqing University

Spectral Theory and Operator Algebra mathscidoc:1702.32001

Journal of Functional Analysis, 2017
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[51] Mappings onto multiplicative subsets of function algebras and spectral properties of their products

Takeshi Miura Department of Mathematics Faculty of Science, Niigata University Thomas Tonev Department of Mathematical Sciences, University of Montana

Spectral Theory and Operator Algebra mathscidoc:1701.32006

Arkiv for Matematik, 53, (2), 329-358, 2014.4
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[52] Bad boundary behavior in star-invariant subspaces I

Andreas Hartmann Institut de Mathématiques de Bordeaux, Université de Bordeaux William T. Ross Department of Mathematics and Computer Science, University of Richmond

Spectral Theory and Operator Algebra mathscidoc:1701.32005

Arkiv for Matematik, 52, (1), 113-134, 2012.2
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[53] Duality and distance formulas in spaces defined by means of oscillation

Karl-Mikael Perfekt Centre for Mathematical Sciences, Lund University

Functional Analysis Spectral Theory and Operator Algebra mathscidoc:1701.12024

Arkiv for Matematik, 51, (2), 345-361, 2011.6
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[54] An extension property of the Bourgain–Pisier construction

Jesús Suárez de la Fuente Department Mathematics, Escuela Politécnica

Functional Analysis Spectral Theory and Operator Algebra mathscidoc:1701.12023

Arkiv for Matematik, 51, (2), 363-369, 2011.4
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[55] Calculation of local formal Fourier transforms

Adam Graham-Squire Department of Mathematics, High Point University

Spectral Theory and Operator Algebra mathscidoc:1701.01017

Arkiv for Matematik, 51, (1), 71-84, 2011.2
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[56] Generalized invertibility of operator matrices

Dragan S. Djordjević Faculty of Sciences and Mathematics, University of Niš Milica Z. Kolundžija Faculty of Sciences and Mathematics, University of Niš

Functional Analysis Spectral Theory and Operator Algebra mathscidoc:1701.12020

Arkiv for Matematik, 50, (2), 259-267, 2010.6
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[57] Convolution operators in$A$^{−∞}for convex domains

Alexander V. Abanin Southern Institute of Mathematics, Southern Federal University Ryuichi Ishimura Graduate School of Science, Chiba University Le Hai Khoi Division of Mathematical Sciences School of Physical and Mathematical Sciences, Nanyang Technological University

Functional Analysis Spectral Theory and Operator Algebra mathscidoc:1701.12017

Arkiv for Matematik, 50, (1), 1-22, 2009.12
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[58] On the$L$^{$p$}-boundedness of pseudo-differential operators with non-regular symbols

Naohito Tomita Department of Mathematics Graduate School of Science, Osaka University

Spectral Theory and Operator Algebra mathscidoc:1701.32004

Arkiv for Matematik, 49, (1), 175-197, 2009.3
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[59] Reducibility of invertible tuples to the principal component in commutative Banach algebras

Raymond Mortini Département de Mathématiques et Institut Élie Cartan de Lorraine, UMR 7502, Université de Lorraine Rudolf Rupp Fakultät für Angewandte Mathematik, Physik und Allgemeinwissenschaften, TH-Nürnberg

Functional Analysis Spectral Theory and Operator Algebra mathscidoc:1701.12009

Arkiv for Matematik, 1-26, 2014.12
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[60] Unique Cartan decomposition for II_{1}factors arising from arbitrary actions of free groups

Sorin Popa Mathematics Department, University of California, Los Angeles Stefaan Vaes Department of Mathematics, KU Leuven

Functional Analysis Group Theory and Lie Theory Spectral Theory and Operator Algebra mathscidoc:1701.12005

Acta Mathematica, 212, (1), 141-198, 2012.6
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[61] Analyticity of the Stokes semigroup in spaces of bounded functions

Ken Abe Graduate School of Mathematical Sciences, University of Tokyo Yoshikazu Giga Graduate School of Mathematical Sciences, University of Tokyo

Functional Analysis Spectral Theory and Operator Algebra mathscidoc:1701.12004

Acta Mathematica, 211, (1), 1-46, 2011.7
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[62] Uniqueness of non-linear ground states for fractional Laplacians in $${\mathbb{R}}$$

Rupert L. Frank Department of Mathematics, Princeton University Enno Lenzmann Institute for Mathematical Sciences, University of Copenhagen

Mathematical Physics Spectral Theory and Operator Algebra mathscidoc:1701.22001

Acta Mathematica, 210, (2), 261-318, 2011.5
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[63] Almost sure multifractal spectrum for the tip of an SLE curve

Fredrik Johansson Viklund Department of Mathematics, Columbia University Gregory F. Lawler Department of Mathematics and Department of Statistics, University of Chicago

Probability Spectral Theory and Operator Algebra mathscidoc:1701.28001

Acta Mathematica, 209, (2), 265-322, 2010.11
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[64] Strict comparison and $$ \mathcal{Z} $$ -absorption of nuclear$C$^{∗}-algebras

Hiroki Matui Graduate School of Science, Chiba University Yasuhiko Sato Graduate School of Science, Kyoto University

Quantum Algebra Rings and Algebras Spectral Theory and Operator Algebra mathscidoc:1701.29003

Acta Mathematica, 209, (1), 179-196, 2011.11
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[65] An inner amenable group whose von Neumann algebra does not have property Gamma

Stefaan Vaes Department of Mathematics, KU Leuven

Spectral Theory and Operator Algebra mathscidoc:1701.32003

Acta Mathematica, 208, (2), 389-394, 2010.3
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[66] Spectral gaps for sets and measures

Alexei Poltoratski Department of Mathematics, Texas A&M University

Functional Analysis Spectral Theory and Operator Algebra mathscidoc:1701.12002

Acta Mathematica, 208, (1), 151-209, 2009.8
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[67] Perturbations of nuclear$C$*-algebras

Erik Christensen Department of Mathematical Sciences, University of Copenhagen Allan M. Sinclair School of Mathematics, University of Edinburgh Roger R. Smith Department of Mathematics, Texas A&M University Stuart A. White School of Mathematics and Statistics, University of Glasgow Wilhelm Winter Mathematisches Institut, Universität Münster

Spectral Theory and Operator Algebra mathscidoc:1701.32002

Acta Mathematica, 208, (1), 93-150, 2009.10
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[68] Operator-Lipschitz functions in Schatten–von Neumann classes

Denis Potapov School of Mathematics & Statistics, University of New South Wales Fedor Sukochev School of Mathematics & Statistics, University of New South Wales

Analysis of PDEs Spectral Theory and Operator Algebra mathscidoc:1701.03007

Acta Mathematica, 207, (2), 375-389, 2009.5
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[69] Markoff–Lagrange spectrum and extremal numbers

Damien Roy Département de Mathématiques, Université d’Ottawa

Spectral Theory and Operator Algebra mathscidoc:1701.32001

Acta Mathematica, 206, (2), 325-362, 2009.6
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[70] Largest adjacency, signless Laplacian, and Laplacian H-eigenvalues of loose paths

Junjie YUE Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China Liping Zhang Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China Mei Lu Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China

Spectral Theory and Operator Algebra mathscidoc:1612.32001

2016.1
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