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http://dx.doi.org/10.22771/nfaa.2022.27.01.07

DISKCYCLIC C0-SEMIGROUPS AND DISKCYCLICITY CRITERIA  

Moosapoor, Mansooreh (Department of Mathematics, Farhangian University)
Publication Information
Nonlinear Functional Analysis and Applications / v.27, no.1, 2022 , pp. 111-119 More about this Journal
Abstract
In this article, we prove that diskcyclic C0-semigroups exist on any infinite-dimensional Banach space. We show that a C0-semigroup (Tt)t≥0 satisfies the diskcyclicity criterion if and only if any of Tt's satisfies the diskcyclicity criterion for operators. Moreover, we show that there are diskcyclic C0-semigroups that do not satisfy the diskcyclicity criterion. Also, we state various criteria for diskcyclicity of C0-semigroups based on dense sets and d-dense orbits.
Keywords
Diskcyclic $C_0$-semigroups; diskcyclicity criterion; diskcyclic operators;
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