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Turkish Journal of Mathematics

Author ORCID Identifier

HEYBETKULU MUSTAFAYEV: 0000-0003-2498-3884

DOI

10.55730/1300-0098.3553

Abstract

Let S be a suitable subsemigroup of a locally compact abelian group and let T={T(s)}s(-S be a bounded and strongly continuous trepresentation of S on a Banach space X. In this note, we study the spectral conditions on T and the ergodic conditios on x in X which will imply that T(s)x-->0 strongly as s--> infinity through S.

Keywords

Semigroup, representation semigroup, stability

First Page

965

Last Page

975

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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Mathematics Commons

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