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april 2017 Non-Weakly Supercyclic Classes of Weighted Composition Operators on Banach Spaces of Analytic Functions
A. Moradi, B. Khani Robati, K. Hedayatian
Bull. Belg. Math. Soc. Simon Stevin 24(2): 227-241 (april 2017). DOI: 10.36045/bbms/1503453707

Abstract

We present a non-weak supercyclicity criterion for vectors in infinite dimensional Banach spaces. Also, we give sufficient conditions under which a class of weighted composition operators on a Banach space of analytic functions is not weakly supercyclic. In particular, we show that the semigroup of linear isometries on the spaces $S^p$ ($p>1$), is not weakly supercyclic. Moreover, we observe that every composition operator on some Banach space of analytic functions such as the disc algebra or the analytic Lipschitz space is not weakly supercyclic.

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A. Moradi. B. Khani Robati. K. Hedayatian. "Non-Weakly Supercyclic Classes of Weighted Composition Operators on Banach Spaces of Analytic Functions." Bull. Belg. Math. Soc. Simon Stevin 24 (2) 227 - 241, april 2017. https://doi.org/10.36045/bbms/1503453707

Information

Published: april 2017
First available in Project Euclid: 23 August 2017

zbMATH: 06850668
MathSciNet: MR3694000
Digital Object Identifier: 10.36045/bbms/1503453707

Subjects:
Primary: 47A16, 47B33, 47B38

Rights: Copyright © 2017 The Belgian Mathematical Society

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Vol.24 • No. 2 • april 2017
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