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Scalarly weakly almost periodic distal representations are strongly almost periodic.
- Source :
-
Proceedings of the American Mathematical Society . Mar2021, Vol. 149 Issue 3, p953-960. 8p. - Publication Year :
- 2021
-
Abstract
- Kadets and Lyubich have shown that a weakly almost periodic representation of a topological group on a Banach space has the property that a vector with almost periodic coefficients is almost periodic. In this paper we obtain the analogous result for distal representations of semigroups on quasi-complete locally convex spaces, removing the condition that the representation be weakly almost periodic and requiring only that the coefficients of the representation be weakly almost periodic. [ABSTRACT FROM AUTHOR]
- Subjects :
- *TOPOLOGICAL groups
*BANACH spaces
*SPACE groups
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 149
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 148558547
- Full Text :
- https://doi.org/10.1090/proc/15388