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Nonarchimedean spectral theory

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Abstract

A spectral theory is constructed for a special class of operators in a Banach space over a non-Archimedean field. A spectral theorem is proved, and a functional calculus and perturbation theory are constructed.

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Authors
  1. M. M. Vishik
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennye Problemy Matematiki, Noveishie Dostizheniya, Vol. 25, pp. 51–114, 1984.

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Vishik, M.M. Nonarchimedean spectral theory. J Math Sci 30, 2513–2555 (1985). https://doi.org/10.1007/BF02249122

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