Hypercyclicity, supercyclicity, and cyclicity of a weighted composition operator on \(\ell^p\) spaces
type: Item
instance of: scholarly article
title: Hypercyclicity, supercyclicity, and cyclicity of a weighted composition operator on \(\ell^p\) spaces
zbMATH Open document ID: 1495.47025
author: Vijay Srivastava
author: Harish Chandra
published in: Georgian Mathematical Journal
publication date: 2021-12-13T00:00:00Z
review text: The authors show that weighted composition operators provide examples which clarify the notions of hypercyclicity, supercyclicity and cyclicity. They obtain a characterization of a hypercyclic weighted composition operator on \(l^{p}\) spaces. They also give two necessary conditions and a sufficient condition for the cyclicity of a weighted composition operator on \(l^{p}\) spaces (\(1 \leq p < \infty\)).
reviewed by: Ömer Gök
Mathematics Subject Classification ID: 47A16
Mathematics Subject Classification ID: 47B37
zbMATH DE Number: 7442621
zbMATH Keywords: cyclicity
zbMATH Keywords: hypercyclicity
zbMATH Keywords: supercyclicity
zbMATH Keywords: composition operator
zbMATH Keywords: dense
zbMATH Keywords: separable Banach space
MaRDI profile type: Publication
full work available at URL: gmj-2021-2097
OpenAlex ID: W3159372902
cites work: Hypercyclic and cyclic vectors
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cites work: Hereditarily hypercylic operators
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cites work: Supercyclicity and weighted shifts
cites work: Composition operators and classical function theory
cites work: Q5139988
DOI: 10.1515/GMJ-2021-2097
description: scientific article; zbMATH DE number 7442621