A Certain p-Adic Spectral Theorem

Richard L Baker

doi:10.48550/arXiv.math/0703539

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A Certain p-Adic Spectral Theorem

Richard L Baker

ArXiv.org

03/19/2007

DOI: 10.48550/arXiv.math/0703539

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Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

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.

Mathematics - Functional Analysis

Details

Title: Subtitle: A Certain p-Adic Spectral Theorem
Creators: Richard L Baker
Resource Type: Preprint
Publication Details: ArXiv.org
DOI: 10.48550/arXiv.math/0703539
ISSN: 2331-8422
Language: English
Date posted: 03/19/2007
Academic Unit: Mathematics
Record Identifier: 9984241051402771

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