Spectral approximation of bounded linear operators on ultrametric Banach spaces

Document Type : Research Articles

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Regional Academy of Education and Training of Casablanca Settat, Hammam Al Fatawaki collegiate High School, Had Soualem 26402, Morocco

Abstract

In this paper, we introduce and study the concepts of stable convergence and square-norm convergence of bounded linear operators on ultrametric Banach spaces. We establish a results on convergence and error estimates of operators and we prove many results related to the stable convergence, the square-convergence and the completely compact convergence on ultrametric Banach spaces. Finally, we give several examples about them.

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