The condition pseudospectrum subset and related results

The condition pseudospectrum subset and related results

We intend, through this paper, to extend the concept of condition pseudospectr um to the case of bounded linear operators on Banach spaces and prove several relations to the usual spectrum. Also, we gives some results related to the essential condition pseudospectra of linear operators. We will begi...

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Veröffentlicht in:Journal of pseudo-differential operators and applications 2020-03, Vol.11 (1), p.491-504
Hauptverfasser: Ammar, Aymen, Jeribi, Aref, Mahfoudhi, Kamel
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Banach spaces
Functional Analysis
Linear operators
Mathematics
Mathematics and Statistics
Operator Theory
Partial Differential Equations
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Beschreibung
Zusammenfassung:We intend, through this paper, to extend the concept of condition pseudospectr um to the case of bounded linear operators on Banach spaces and prove several relations to the usual spectrum. Also, we gives some results related to the essential condition pseudospectra of linear operators. We will begin by defining it and then we focus on the characterization, the stability and some properties of these spectra.
ISSN:1662-9981
1662-999X
DOI:10.1007/s11868-018-0265-9