Non supercyclic subsets of linear isometries on Banach spaces of analytic functions

Title:

Non supercyclic subsets of linear isometries on Banach spaces of analytic functions

Creator:

Moradi, Abbas, Hedayatian, Karim, Robati, Bahram Khani, and Ansari, Mohammad

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:35023bbf-76d1-43b0-8ccb-241940af8453
uuid:35023bbf-76d1-43b0-8ccb-241940af8453
issn:0011-4642

Subject:

matematika, mathematics, supercyclicity, hypercyclic operator, semigroup, isometry, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

Let X be a Banach space of analytic functions on the open unit disk and Γ a subset of linear isometries on X. Sufficient conditions are given for non-supercyclicity of Γ. In particular, we show that the semigroup of linear isometries on the spaces S^{p} (p>1), the little Bloch space, and the group of surjective linear isometries on the big Bloch space are not supercyclic. Also, we observe that the groups of all surjective linear isometries on the Hardy space H^{p} or the Bergman space L_{a}^{p} (1< p< ∞,p\neq 2) are not supercyclic., Abbas Moradi, Karim Hedayatian, Bahram Khani Robati, Mohammad Ansari., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

389-397

Source:

Czechoslovak Mathematical Journal | 2015 Volume:65 | Number:2

Harvested from:

CDK

Metadata only:

false