Banach function algebra
id:
banach-function-algebra-255-63510
title:
Banach function algebra
text:
In functional analysis, a Banach function algebra on a compact Hausdorff space X is unital subalgebra, A, of the commutative C*-algebra C(X) of all continuous, complex-valued functions from X, together with a norm on A that makes it a Banach algebra. A function algebra is said to vanish at a point p if f(p) = 0 for all f ∈ A . A function algebra separates points if for each distinct pair of points p , q ∈ X , there is a function f ∈ A such that f ( p ) ≠ f ( q ) . For every x ∈ X define ε x ( f
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Banach_function_algebra
date created:
date modified:
2021-06-14T14:59:59Z
main entity:
{"identifier":"Q4853763","url":"https://www.wikidata.org/entity/Q4853763"}
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13
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