uniform algebra
Смотреть что такое "uniform algebra" в других словарях:
Uniform algebra — A uniform algebra A on a compact Hausdorff topological space X is a closed (with respect to the uniform norm) subalgebra of the C* algebra C(X) (the continuous complex valued functions on X ) with the following properties::the constant functions… … Wikipedia
Uniform norm — This article is about the function space norm. For the finite dimensional vector space distance, see Chebyshev distance. The black square is the set of points in R2 where the sup norm equals a fixed non zero constant. In mathematical analysis,… … Wikipedia
Banach algebra — In mathematics, especially functional analysis, a Banach algebra, named after Stefan Banach, is an associative algebra A over the real or complex numbers which at the same time is also a Banach space. The algebra multiplication and the Banach… … Wikipedia
Banach function algebra — 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… … Wikipedia
Disk algebra — For other uses, see Disc (disambiguation). In function theory, the disk algebra A(D) (also spelled disc algebra) is the set of holomorphic functions f : D → C, where D is the open unit disk in the complex plane C, f extends to a continuous… … Wikipedia
Dirichlet algebra — In mathematics, a Dirichlet algebra is a particular type of algebra associated to a compact Hausdorff space X. It is a closed subalgebra of C(X), the uniform algebra of bounded continuous functions on X, whose real parts are dense in the algebra… … Wikipedia
Amenable Banach algebra — A Banach algebra, A , is amenable if all bounded derivations from A into dual Banach A bimodules are inner (that is of the form amapsto a.x x.a for some x in the dual module).An equivalent characterization is that A is amenable if and only if it… … Wikipedia
Boolean algebra — This article discusses the subject referred to as Boolean algebra. For the mathematical objects, see Boolean algebra (structure). Boolean algebra, as developed in 1854 by George Boole in his book An Investigation of the Laws of Thought,[1] is a… … Wikipedia
Boolean algebra (introduction) — Boolean algebra, developed in 1854 by George Boole in his book An Investigation of the Laws of Thought , is a variant of ordinary algebra as taught in high school. Boolean algebra differs from ordinary algebra in three ways: in the values that… … Wikipedia
Homological algebra — is the branch of mathematics which studies homology in a general algebraic setting. It is a relatively young discipline, whose origins can be traced to investigations in combinatorial topology (a precursor to algebraic topology) and abstract… … Wikipedia
Relation algebra — is different from relational algebra, a framework developed by Edgar Codd in 1970 for relational databases. In mathematics, a relation algebra is a residuated Boolean algebra supporting an involutary unary operation called converse. The… … Wikipedia
