Abstract almost periodicity for group actions on uniform topological spaces
Lenz D, Spindeler T, Strungaru N (2023)
Canadian Journal of Mathematics = Journal Canadien de Mathématiques : PII S0008414X23000226.
Zeitschriftenaufsatz
| E-Veröff. vor dem Druck | Englisch
Download
Es wurden keine Dateien hochgeladen. Nur Publikationsnachweis!
Autor*in
Lenz, Daniel;
Spindeler, TimoUniBi;
Strungaru, Nicolae
Einrichtung
Abstract / Bemerkung
We present a unified theory for the almost periodicity of functions with values in an arbitrary Banach space, measures and distributions via almost periodic elements for the action of a locally compact abelian group on a uniform topological space. We discuss the relation between Bohr- and Bochner-type almost periodicity, and similar conditions, and how the equivalence among such conditions relates to properties of the group action and the uniformity. We complete the paper by demonstrating how various examples considered earlier all fit in our framework.
Stichworte
Almost periodicity;
group action;
dynamical systems;
Bochner;
Bohr;
almost periodicity;
Bohr compactification;
compact hull
Erscheinungsjahr
2023
Zeitschriftentitel
Canadian Journal of Mathematics = Journal Canadien de Mathématiques
Art.-Nr.
PII S0008414X23000226
ISSN
0008-414X
eISSN
1496-4279
Page URI
https://pub.uni-bielefeld.de/record/2979263
Zitieren
Lenz D, Spindeler T, Strungaru N. Abstract almost periodicity for group actions on uniform topological spaces. Canadian Journal of Mathematics = Journal Canadien de Mathématiques . 2023: PII S0008414X23000226.
Lenz, D., Spindeler, T., & Strungaru, N. (2023). Abstract almost periodicity for group actions on uniform topological spaces. Canadian Journal of Mathematics = Journal Canadien de Mathématiques , PII S0008414X23000226. https://doi.org/10.4153/S0008414X23000226
Lenz, Daniel, Spindeler, Timo, and Strungaru, Nicolae. 2023. “Abstract almost periodicity for group actions on uniform topological spaces”. Canadian Journal of Mathematics = Journal Canadien de Mathématiques : PII S0008414X23000226.
Lenz, D., Spindeler, T., and Strungaru, N. (2023). Abstract almost periodicity for group actions on uniform topological spaces. Canadian Journal of Mathematics = Journal Canadien de Mathématiques :PII S0008414X23000226.
Lenz, D., Spindeler, T., & Strungaru, N., 2023. Abstract almost periodicity for group actions on uniform topological spaces. Canadian Journal of Mathematics = Journal Canadien de Mathématiques , : PII S0008414X23000226.
D. Lenz, T. Spindeler, and N. Strungaru, “Abstract almost periodicity for group actions on uniform topological spaces”, Canadian Journal of Mathematics = Journal Canadien de Mathématiques , 2023, : PII S0008414X23000226.
Lenz, D., Spindeler, T., Strungaru, N.: Abstract almost periodicity for group actions on uniform topological spaces. Canadian Journal of Mathematics = Journal Canadien de Mathématiques . : PII S0008414X23000226 (2023).
Lenz, Daniel, Spindeler, Timo, and Strungaru, Nicolae. “Abstract almost periodicity for group actions on uniform topological spaces”. Canadian Journal of Mathematics = Journal Canadien de Mathématiques (2023): PII S0008414X23000226.
Export
Markieren/ Markierung löschen
Markierte Publikationen
Web of Science
Dieser Datensatz im Web of Science®Suchen in
Google Scholar