Structured condition pseudospectra and structured essential condition pseudospectra of bounded linear operators on ultrametric Banach spaces

Articles in Press

Document Type : Original Manuscript

Author

Department of mathematics and computer science, Sidi Mohamed Ben Abdellah University, Faculty of Sciences Dhar El Mahraz, Fez, Morocco.

Abstract

In this paper, we introduce and study the structured condition pseudospectra and the structured essential condition pseudospectra of bounded linear operators on ultrametric Banach spaces. We establish a characterization of the structured condition pseudospectrum of continuous linear operators and we give a relationship between the structured condition pseudospectrum and the structured pseudospectrum of continuous linear operators on ultrametric Banach spaces. Many characterizations of the structured essential condition pseudospectrum of bounded linear operators and examples are given.

Keywords

Journal of Algebraic Systems

Articles in Press, Accepted Manuscript
Available Online from 09 April 2024

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