- reflexive space
- мат. рефлексивное пространство
Большой англо-русский и русско-английский словарь. 2001.
reflexive space
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Reflexive 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… … Wikipedia
Polynomially reflexive space — In mathematics, a polynomially reflexive space is a Banach space X , on which all polynomials are reflexive.Given a multilinear functional M n of degree n (that is, M n is n linear), we can define a polynomial p as :p(x)=M n(x,dots,x) (that is,… … Wikipedia
Reflexive — may refer to:In fiction: MetafictionIn grammar: *Reflexive pronoun, a pronoun with a reflexive relationship with its self identical antecedent *Reflexive verb, where a semantic agent and patient are the sameIn mathematics and computer science:… … Wikipedia
Reflexive operator algebra — In functional analysis, a reflexive operator algebra A is an operator algebra that has enough invariant subspaces to characterize it. Formally, A is reflexive if it is equal to the algebra of bounded operators which leave invariant each subspace… … Wikipedia
reflexive — reflexively, adv. reflexiveness, reflexivity /ree flek siv i tee/, n. /ri flek siv/, adj. 1. Gram. a. (of a verb) taking a subject and object with identical referents, as shave in I shave myself. b. (of a pronoun) used as an object to refer to… … Universalium
space — 1. noun /speɪs/ a) The intervening contents of a volume. If it be only a Single Letter or two that drops, he thruſts the end of his Bodkin between every Letter of that Word, till he comes to a Space: and then perhaps by forcing thoſe Letters… … Wiktionary
Sequence space — In functional analysis and related areas of mathematics, a sequence space is a vector space whose elements are infinite sequences of real or complex numbers. Equivalently, it is a function space whose elements are functions from the natural… … Wikipedia
Souček space — In mathematics, Souček spaces are generalizations of Sobolev spaces, named after the Czech mathematician Jiří Souček. One of their main advantages is that they offer a way to deal with the fact that the Sobolev space W 1,1 is not a reflexive… … Wikipedia
Banach space — In mathematics, Banach spaces (pronounced [ˈbanax]) is the name for complete normed vector spaces, one of the central objects of study in functional analysis. A complete normed vector space is a vector space V with a norm ||·|| such that every… … Wikipedia
Tsirelson space — In mathematics, Tsirelson space T is an example of a reflexive Banach space in which neither an l p space nor a c 0 space can be embedded.It was introduced by B. S. Tsirelson in 1974. In the same year, Figiel and Johnson published a related… … Wikipedia
Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… … Wikipedia
