Disjoint topological transitivity for cosine operator functions on weighted Orlicz spaces

In this note, we give sufficient conditions for sequences of operators to be disjoint topologically transitive on the weighted Orlicz spaces of locally compact groups. This condition also ensures the disjoint blow-up/collapse property holds. In our case, these sequences of operators can be regarded...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Topology and its applications 2023-08, Vol.335, p.108563, Article 108563
1. Verfasser: Chen, Chung-Chuan
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this note, we give sufficient conditions for sequences of operators to be disjoint topologically transitive on the weighted Orlicz spaces of locally compact groups. This condition also ensures the disjoint blow-up/collapse property holds. In our case, these sequences of operators can be regarded as cosine operator functions. Disjoint topological mixing for such cosine operator functions is investigated as well.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2023.108563