Orbits of the backward shifts with limit points

We show that the bilateral backward shift on ℓp(Z,ω) that has a projective orbit with a non-zero limit point is supercyclic. This phenomenon holds also for Γ-supercyclicity, which extends a result obtained for the first time by Chan and Seceleanu. Moreover, we show that if K is a compact subset of ℓ...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Journal of mathematical analysis and applications Jg. 537; H. 2; S. 128293
Hauptverfasser:	Abakumov, Evgeny, Abbar, Arafat
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Elsevier Inc 15.09.2024
Schlagworte:	Backward shift Hypercyclicity Orbital limit points Recurrence Supercyclicity Translation semigroup Backward shift Recurrence Supercyclicity Hypercyclicity Translation semigroup Orbital limit points
ISSN:	0022-247X
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!