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
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
MUSTAFAYEV, HEYBETKULU
(2024)
"Individual stability of representations of abelian semigroups,"
Turkish Journal of Mathematics: Vol. 48:
No.
5, Article 12.
https://doi.org/10.55730/1300-0098.3553
Available at:
https://journals.tubitak.gov.tr/math/vol48/iss5/12