normed functional

  • 31Dual pair — This article is about dual pairs of vector spaces. For dual pairs in representation theory, see Reductive dual pair. In functional analysis and related areas of mathematics a dual pair or dual system is a pair of vector spaces with an associated… …

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  • 32NEPSY — (which stands for A Developmental NEuroPSYchological Assessment ) is a series of neuropsychological tests authored by Marit Korkman, Ursula Kirk and Sally Kemp, that are used in various combinations to assess neuropsychological development in… …

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  • 33Compactly embedded — In mathematics, the notion of being compactly embedded expresses the idea that one set or space is well contained inside another. There are versions of this concept appropriate to general topology and functional analysis. Definition (topological… …

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  • 34Continuous functions on a compact Hausdorff space — In mathematical analysis, and especially functional analysis, a fundamental role is played by the space of continuous functions on a compact Hausdorff space with values in the real or complex numbers. This space, denoted by C(X), is a vector… …

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  • 35Orlicz–Pettis theorem — In functional analysis, the Orlicz–Pettis theorem is a theorem about convergence in Banach spaces. It is named for Władysław Orlicz and Billy James Pettis. The result was originally proven by Orlicz for weakly sequentially complete normed… …

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  • 36Triangle inequality — In mathematics, the triangle inequality states that for any triangle, the length of a given side must be less than or equal to the sum of the other two sides but greater than or equal to the difference between the two sides.In Euclidean geometry… …

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  • 37Composition algebra — In mathematics, a composition algebra A over a field K is a unital (but not necessarily associative) algebra over K together with a nondegenerate quadratic form N which satisfies for all x and y in A.  The quadratic form N is often referred… …

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  • 38Continuously embedded — In mathematics, one normed vector space is said to be continuously embedded in another normed vector space if the inclusion function between them is continuous. In some sense, the two norms are almost equivalent , even though they are not both… …

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  • 39Leonidas Alaoglu — (March 19 1914 ndash; August 1981) was a Canadian American mathematician, most famous for his widely cited result called Alaoglu s theorem on the weak star compactness of the closed unit ball in the dual of a normed space, also known as the… …

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  • 40Per Enflo — Born 1944 Stockholm, Sweden …

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