Condition pseudospectrum of operator pencils on non-archimedean Banach spaces
Functional Analysis
2025-01-23 v2
Abstract
This paper deals with the condition pseudospectrum and essential condition pseudospectrum of operator pencils on n.a Banach spaces. We give a characterization of the condition pseudospectrum of operator pencils on n.a Banach spaces, the relation between the condition pseudospectrum of and the usual spectrum in a n.a valued field is investigated. Finally, we give a characterization of the essential spectrum of where by means of n.a completely continuous operators and we give some examples.
Keywords
Cite
@article{arxiv.2305.18401,
title = {Condition pseudospectrum of operator pencils on non-archimedean Banach spaces},
author = {Jawad Ettayb},
journal= {arXiv preprint arXiv:2305.18401},
year = {2025}
}
Comments
There are many results, so all the results of the paper are false