M-hypercyclicity of \(C_0\)-semigroup and SVEP of its generator
type: Item
instance of: scholarly article
title: M-hypercyclicity of \(C_0\)-semigroup and SVEP of its generator
author: A. Toukmati
published in: Concrete Operators
publication date: 2022-01-10T00:00:00Z
review text: Inspired by the notion of \(M\)-hypercyclic operator on an infinite dimensional separable Banach space \(X\), with \(M\) a non-zero subspace of \(X\), of \textit{B. F. Madore} and \textit{R. A. Martínez-Avendaño} [J. Math. Anal. Appl. 373, No. 2, 502--511 (2011; Zbl 1210.47023)], \textit{A. Tajmouati} et al. introduced the notion of \(M\)-hypercyclicity for \(C_0\)-semigroups of operators in [``On $M$-hypercyclic semigroup'', Int. J. Math. Anal 9, No 9, 417--428 (2015; \url{doi:10.12988/ijma.2015.412397})]. In this paper conditions on the generator \(A\) of a \(C_0\)-semigroup of operators are shown to imply that the semigroup is \(M\)-hypercyclic.
reviewed by: José Bonet
Mathematics Subject Classification ID: 47A16
Mathematics Subject Classification ID: 47D03
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 47B48
zbMATH DE Number: 7454939
zbMATH Keywords: hypercyclicity
zbMATH Keywords: \(M\)-hypercyclicity
zbMATH Keywords: \(C_0\)-semigroup
zbMATH Keywords: SVEP
zbMATH Keywords: topologically transitive
MaRDI profile type: Publication
full work available at URL: conop-2020-0122
OpenAlex ID: W4206257135
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DOI: 10.1515/CONOP-2020-0122
description: scientific article; zbMATH DE number 7454939