A Certain p-Adic Spectral Theorem

Details A Certain p-Adic Spectral Theorem A Certain p-Adic Spectral Theorem

2007-03-19

arxiv.org/abs/math/0703539v1

Mathematics

Functional Analysis

29 pages

Scientific paper

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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