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- Banach_function_algebra abstract "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 which makes it a Banach algebra.A function algebra is said to vanish at a point p if f(p) = 0 for all . A function algebra separates points if for each distinct pair of points , there is a function such that .For every define . Then is a non-zero homomorphism (character) on .Theorem: A Banach function algebra is semisimple (that is its Jacobson radical is equal to zero) and each commutative unital, semisimple Banach algebra is isomorphic (via the Gelfand transform) to a Banach function algebra on its character space (the space of algebra homomorphisms from A into the complex numbers given the relative weak* topology).If the norm on is the uniform norm (or sup-norm) on , then is calleda uniform algebra. Uniform algebras are an important special case of Banach function algebras.".
- Banach_function_algebra wikiPageID "4827724".
- Banach_function_algebra wikiPageRevisionID "470536571".
- Banach_function_algebra hasPhotoCollection Banach_function_algebra.
- Banach_function_algebra subject Category:Banach_algebras.
- Banach_function_algebra type Abstraction100002137.
- Banach_function_algebra type Algebra106012726.
- Banach_function_algebra type BanachAlgebras.
- Banach_function_algebra type Cognition100023271.
- Banach_function_algebra type Content105809192.
- Banach_function_algebra type Discipline105996646.
- Banach_function_algebra type KnowledgeDomain105999266.
- Banach_function_algebra type Mathematics106000644.
- Banach_function_algebra type PsychologicalFeature100023100.
- Banach_function_algebra type PureMathematics106003682.
- Banach_function_algebra type Science105999797.
- Banach_function_algebra comment "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 which makes it a Banach algebra.A function algebra is said to vanish at a point p if f(p) = 0 for all . A function algebra separates points if for each distinct pair of points , there is a function such that .For every define .".
- Banach_function_algebra label "Banach function algebra".
- Banach_function_algebra label "バナッハ関数環".
- Banach_function_algebra sameAs バナッハ関数環.
- Banach_function_algebra sameAs m.02p8mlj.
- Banach_function_algebra sameAs Q4853763.
- Banach_function_algebra sameAs Q4853763.
- Banach_function_algebra sameAs Banach_function_algebra.
- Banach_function_algebra wasDerivedFrom Banach_function_algebra?oldid=470536571.
- Banach_function_algebra isPrimaryTopicOf Banach_function_algebra.