English

A Certain p-Adic Spectral Theorem

Functional Analysis 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0703539,
  title  = {A Certain p-Adic Spectral Theorem},
  author = {Richard L. Baker},
  journal= {arXiv preprint arXiv:math/0703539},
  year   = {2007}
}

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29 pages