Subspaces of Frequently Hypercyclic Functions for Sequences of Composition Operators

Subspaces of Frequently Hypercyclic Functions for Sequences of Composition Operators

In this paper, a criterion for a sequence of composition operators defined on the space of holomorphic functions in a complex domain to be frequently hypercyclic is provided. Such a criterion improves some already known special cases, and, in addition, it is also valid to provide dense vector subspa...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Constructive approximation 2019-10, Vol.50 (2), p.323-339
Hauptverfasser: Bernal-González, L., Calderón-Moreno, M. C., Jung, A., Prado-Bassas, J. A.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Analytic functions
Composition
Criteria
Mathematics
Mathematics and Statistics
Numerical Analysis
Operators
Subspaces
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, a criterion for a sequence of composition operators defined on the space of holomorphic functions in a complex domain to be frequently hypercyclic is provided. Such a criterion improves some already known special cases, and, in addition, it is also valid to provide dense vector subspaces as well as large closed ones consisting entirely, except for zero, of functions that are frequently hypercyclic.
ISSN:0176-4276
1432-0940
DOI:10.1007/s00365-019-09455-4