normed functional
61Continuous linear operator — In functional analysis and related areas of mathematics, a continuous linear operator or continuous linear mapping is a continuous linear transformation between topological vector spaces. An operator between two normed spaces is a bounded linear… …
62Banach, Stefan — ▪ Polish mathematician born March 30, 1892, Kraków, Austria Hungary [now in Poland] died August 31, 1945, Lvov, Ukrainian S.S.R. [now Lviv, Ukraine] Polish mathematician who founded modern functional analysis and helped develop the theory… …
63Vitali Milman — Vitali Davidovich Milman (russisch Виталий Давидович Мильман, Witali Dawidowitsch Milman; hebräisch ויטלי מילמן; * 23. August 1939 in der Sowjetunion), ist ein israelischer, aus der ehemaligen Sowjetunion stammender Mathematiker …
64Axiom of choice — This article is about the mathematical concept. For the band named after it, see Axiom of Choice (band). In mathematics, the axiom of choice, or AC, is an axiom of set theory stating that for every family of nonempty sets there exists a family of …
65Inner product space — In mathematics, an inner product space is a vector space with the additional structure of inner product. This additional structure associates each pair of vectors in the space with a scalar quantity known as the inner product of the vectors.… …
66Lebesgue integration — In mathematics, the integral of a non negative function can be regarded in the simplest case as the area between the graph of that function and the x axis. Lebesgue integration is a mathematical construction that extends the integral to a larger… …
67Linear map — In mathematics, a linear map, linear mapping, linear transformation, or linear operator (in some contexts also called linear function) is a function between two vector spaces that preserves the operations of vector addition and scalar… …
68Reflexive space — In functional analysis, a Banach space is called reflexive if it satisfies a certain abstract property involving dual spaces. Reflexive spaces turn out to have desirable geometric properties. Definition Suppose X is a normed vector space over R… …
69Group algebra — This page discusses topological algebras associated to topological groups; for the purely algebraic case of discrete groups see group ring. In mathematics, the group algebra is any of various constructions to assign to a locally compact group an… …
70Triality — In mathematics, triality is a relationship between three vector spaces, analogous to the duality relation between dual vector spaces. Most commonly, it describes those special features of the group Spin(8), the double cover of 8 dimensional… …
