A Note on the Mapping Theorem for Essential Pseudospectra in a Banach Space

A Note on the Mapping Theorem for Essential Pseudospectra in a Banach Space

The main aim of the paper is to determine some basic properties of the essential pseudospectrum of a bounded linear operator A defined in a Banach space X. We also prove two different versions of the essential pseudospectral mapping theorem.

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Veröffentlicht in:Ukrainian mathematical journal 2024-08, Vol.76 (3), p.379-392
Hauptverfasser: Ammar, Aymen, Veeramani, S.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Banach spaces
Geometry
Linear operators
Mapping
Mathematics
Mathematics and Statistics
Statistics
Theorems
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Beschreibung
Zusammenfassung:The main aim of the paper is to determine some basic properties of the essential pseudospectrum of a bounded linear operator A defined in a Banach space X. We also prove two different versions of the essential pseudospectral mapping theorem.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-024-02326-7