Spectral analysis for finite rank perturbation of diagonal operator in non-archimedean Banach space of countable type
Abstract In this paper we are concerned with the spectral analysis for the classes of finte rank perturbations of diagonal operators in the form A = D+F where D is a diagonal operator and F = u’1 ⊗v’1+...+u’m ⊗vm is an operator of finite rank in the non-archimedean Banach space of countable type. We compute the spectrum of A using the theory of Fredholm operators in non archimedean setting and the concept of essential spectrum for linear operators.
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| Main Authors: | , , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Universidad Católica del Norte, Departamento de Matemáticas
2022
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| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172022000501063 |
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