Non-Archimedean Gelfand theory

Niel Shilkret

Vol. 32 (1970), No. 2, 541–550

DOI: 10.2140/pjm.1970.32.541

Abstract

It is shown that under certain conditions a specified subalgebra X₀ of a non-Archimedean Banach algebra is isometrically isomorphic to the space of all continuous functions from a compact zero-dimensional Hausdorff space to the ground field; this generalizes a recent result in which X₀ is assumed to coincide with the entire algebra.

Mathematical Subject Classification

Primary: 46.55

Milestones

Received: 4 June 1969

Published: 1 February 1970