# MathSciDoc: An Archive for Mathematician ∫

#### TBDmathscidoc:1701.332023

Acta Mathematica, 206, (1), 1-54, 2009.3
We construct a hereditarily indecomposable Banach space with dual space isomorphic to$ℓ$_{1}. Every bounded linear operator on this space is expressible as λ$I$+$K$, with λ a scalar and$K$compact.
@inproceedings{spiros2009a,
title={A hereditarily indecomposable ${\mathcal{L}_{\infty}}$ -space that solves the scalar-plus-compact problem},
author={Spiros A. Argyros, and Richard G. Haydon},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203355940117734},
booktitle={Acta Mathematica},
volume={206},
number={1},
pages={1-54},
year={2009},
}

Spiros A. Argyros, and Richard G. Haydon. A hereditarily indecomposable ${\mathcal{L}_{\infty}}$ -space that solves the scalar-plus-compact problem. 2009. Vol. 206. In Acta Mathematica. pp.1-54. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203355940117734.