A Certain p-Adic Spectral Theorem

Richard L. Baker

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A Certain p-Adic Spectral Theorem

Richard L. Baker

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Abstract

We extend a p-adic spectral theorem of M. M. Vishik to a certain class of p-adic Banach algebras. This class includes inductive limits of finite-dimensional p-adic Banach algebras of the form B(X), where X is a finite-dimensional p-adic Banach space. In particular, we present a p-adic spectral theorem for p-adic UHF and p-adic triangular UHF (TUHF) Banach algebras.

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Richard L. Baker. 2007-03-19. A Certain p-Adic Spectral Theorem. https://arxiv.org/abs/math/0703539

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