The condition ε -pseudospectra on non-Archimedean Banach space

Abstract

This paper concerned with the condition ε-pseudospectrum and the essential condition ε-pseudospectrum in a non-Archimedean Banach space. We introduce the first notion and study some of its properties. Moreover, we find a relationship between the condition ε-pseudospectrum and the ε-pseudospectrum. After that, we give a few properties of the essential condition ε-pseudospectrum.