Chun-Lei CaoInstitute of Mathematics Academy of Mathematics and System Sciences, Chinese Academy of SciencesYue-Fei WangInstitute of Mathematics Academy of Mathematics and System Sciences, Chinese Academy of Sciences
Completely invariant components of the Fatou sets of meromorphic maps are discussed. Positive answers are given to Baker’s and Bergweiler’s problems that such components are the only Fatou components for certain classes of meromorphic maps.
Arveson W. On groups of automorphisms of operator algebras[J]. Journal of Functional Analysis, 1974, 15(3): 217-243.
2
Loebl R I, Muhly P S. Analyticity and Flows in Von Neumann Algebras[J]. Journal of Functional Analysis, 1978, 29(2): 214-252.
3
Palle E T Jorgensen. Spectral theory of finite volume domains in Rn. 1982.
4
Erling Stormer. Spectra of ergodic transformations. 1974.
5
Kawamura S, Tomiyama J. On subdiagonal algebras associated with flows in operator algebras[J]. Journal of The Mathematical Society of Japan, 1977, 29(1): 73-90.
6
Zsido L. Spectral and ergodic properties of the analytic generators[J]. Journal of Approximation Theory, 1977, 20(1): 77-138.
7
Katok A, Sinai Y G, Stepin A M, et al. Theory of dynamical systems and general transformation groups with invariant measure[J]. Journal of Mathematical Sciences, 1977, 7(6): 974-1065.
8
Muhly. Function algebras and flows II[J]. Arkiv för Matematik, 1973: 203-213.
9
Muhly P S, Putnam I F, Xia J, et al. On the K-theory of some C∗-algebras of Toeplitz and singular integral operators[J]. Journal of Functional Analysis, 1992, 110(1): 161-225.
10
Mandrekar V, Nadkarni M G. ON ERGODIC QUASI-INVARIANT MEASURES ON THE CIRCLE GROUP.[J]. Journal of Functional Analysis, 1968, 3(2): 157-163.