Property (UWE) for operators and operator matrices

Property (UWE) for operators and operator matrices

“Property (UWE) holds” for an operator when the complement in the approximate point spectrum of the “essential approximate point spectrum” coincides with the isolated points of the spectrum which are eigenvalues. In this paper, we give the necessary and sufficient conditions for linear bounded opera...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of mathematical analysis and applications 2022-05, Vol.509 (2), p.125951, Article 125951
Hauptverfasser: Qiu, Sinan, Cao, Xiaohong
Format: Artikel
Sprache:eng
Schlagworte:
Operator matrices
Property (UWE)
Spectrum
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:“Property (UWE) holds” for an operator when the complement in the approximate point spectrum of the “essential approximate point spectrum” coincides with the isolated points of the spectrum which are eigenvalues. In this paper, we give the necessary and sufficient conditions for linear bounded operators and their functions for which property (UWE) holds. In addition, we explore how property (UWE) survives for 2×2 upper triangular operator matrices.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2021.125951