Condition pseudospectrum in non-Archimedean Banach spaces

Ettayb, Jawad

doi:10.22103/jmmr.2025.25249.1800

Condition pseudospectrum in non-Archimedean Banach spaces

Document Type : Research Paper

Author

Jawad Ettayb

C. High school of Hauman El fetouaki, P. O. Box 26402, Had Soualem, Morocco

10.22103/jmmr.2025.25249.1800

Abstract

In this article, we introduce and study the condition pseudospectrum of bounded linear operator pencils on non-Archimedean Banach spaces. We obtain a characterization of the condition pseudospectrum of bounded linear operator pencils on non-Archimedean Banach spaces, the relation between the condition pseudospectrum of a bounded linear operator pencil and the pseudospectrum of this operator pencil in a non-Archimedean valued field is investigated. Finally, we characterize the essential spectrum of bounded linear operator pencils by means of non-Archimedean completely continuous linear operators and we illustrate our work by some examples.

Keywords

Non-Archimedean Banach spaces

pseudospectrum

condition pseudospectrum

operator pencils

Subjects

Analysis

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