STRUCTURED CONDITION PSEUDOSPECTRA AND STRUCTURED ESSENTIAL CONDITION PSEUDOSPECTRA OF BOUNDED LINEAR OPERATORS ON ULTRAMETRIC BANACH SPACES

Document Type : Original Manuscript

Author

Ministry of National Education, Regional Academy of Education and Training of Casablanca Settat, Hammam Al Fatawaki High School, Had Soualem, 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

References

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Journal of Algebraic Systems
Volume 13, Issue 3
November 2025
Pages 95-111

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