normed space

normed space
normiavaruus

English-Finnish mathematical dictionary. 2011.

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  • normed space — normuotoji erdvė statusas T sritis fizika atitikmenys: angl. normalized space; normed space vok. normierter Raum, m rus. нормированное пространство, n pranc. espace normé, m …   Fizikos terminų žodynas

  • normed space — Math. any vector space on which a norm is defined. [1970 75] * * * …   Universalium

  • normed space — Math. any vector space on which a norm is defined. [1970 75] …   Useful english dictionary

  • Normed vector space — In mathematics, with 2 or 3 dimensional vectors with real valued entries, the idea of the length of a vector is intuitive and can easily be extended to any real vector space Rn. The following properties of vector length are crucial. 1. The zero… …   Wikipedia

  • Space (mathematics) — This article is about mathematical structures called spaces. For space as a geometric concept, see Euclidean space. For all other uses, see space (disambiguation). A hierarchy of mathematical spaces: The inner product induces a norm. The norm… …   Wikipedia

  • Normed division algebra — In mathematics, a normed division algebra A is a division algebra over the real or complex numbers which is also a normed vector space, with norm || · || satisfying the following property: for all x and y in A. While the definition allows normed… …   Wikipedia

  • 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

  • normed — adjective Date: 1935 being a mathematical entity upon which a norm is defined < a normed vector space > …   New Collegiate Dictionary

  • normed — ˈnȯ(ə)rmd adjective Etymology: norm (herein) + ed (I) : being a mathematical entity upon which a norm is defined a normed vector space …   Useful english dictionary

  • Dual space — In mathematics, any vector space, V, has a corresponding dual vector space (or just dual space for short) consisting of all linear functionals on V. Dual vector spaces defined on finite dimensional vector spaces can be used for defining tensors… …   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

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