Uniform algebra

id: uniform-algebra-201-17339147
title: Uniform algebra
text: In functional analysis, a uniform algebra A on a compact Hausdorff topological space X is a closed subalgebra of the C*-algebra C(X) with the following properties: As a closed subalgebra of the commutative Banach algebra C(X) a uniform algebra is itself a unital commutative Banach algebra. Hence, it is, a Banach function algebra. A uniform algebra A on X is said to be natural if the maximal ideals of A are precisely the ideals M x of functions vanishing at a point x in X.
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category slug: encyclopedia
description: Mathematical concept
original url: https://en.wikipedia.org/wiki/Uniform_algebra
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date modified: 2024-01-13T10:00:09Z
main entity: {"identifier":"Q7885096","url":"https://www.wikidata.org/entity/Q7885096"}
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