functional analysis, a Banach space (pronounced [ˈbanax]) is a complete normed vector space. Thus, a Banach space is a vector space with a metric that...

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L1-norm principal component analysis (L1-PCA) is a general method for multivariate data analysis. L1-PCA is often preferred over standard L2-norm principal...

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linear subspaces of this space. Sequence spaces are typically equipped with a norm, or at least the structure of a topological vector space. The most important...

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solution to the Monge-Kantorovich mass transfer problem". Numerische Mathematik. 84 (3): 375–393. doi:10.1007/s002110050002. ISSN 0945-3245. S2CID 1100384...

functional analysis, a branch of mathematics, two methods of constructing normed spaces from disks were systematically employed by Alexander Grothendieck...

studied for Lebesgue spaces, finite-dimensional normed vector spaces with the L p {\displaystyle L^{p}} norm   ‖ x ‖ p = ( | x 1 | p + | x 2 | p + ⋯ + | x...

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{\displaystyle \sigma ,} and if a {\displaystyle a} is an element of L of relative norm 1, that is N ( a ) := a σ ( a ) σ 2 ( a ) ⋯ σ n − 1 ( a ) = 1 , {\displaystyle...

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largest length of b i {\displaystyle \mathbf {b} _{i}} under the Euclidean norm, that is, B = max ( ‖ b 1 ‖ 2 , ‖ b 2 ‖ 2 , … , ‖ b d ‖ 2 ) {\displaystyle...

every algebra norm on C(X) is equivalent to the usual uniform norm. (Kaplansky himself had earlier shown that every complete algebra norm on C(X) is equivalent...

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"Note on invariant subspaces of a compact normal operator". Archiv der Mathematik. 14: 337–340. doi:10.1007/BF01234964. S2CID 124945750. Garrett, Paul (2005)...

Mathematics Studies, ISBN 0-691-08396-7 Norm Ideals of Completely Continuous Operators. Ergebnisse der Mathematik und ihrer Grenzgebiete, 2. Folge, ISBN 3-540-04806-5...

property of normed spaces that is satisfied precisely if weak convergence of sequences entails convergence in norm. When we are working in a normed space X...

(JSTOR) Rainer Kaenders (ed.), Reinhard Schmidt (ed.): Mit GeoGebra mehr Mathematik verstehen. Springer Spektrum, 2nd edition, 2014, ISBN 978-3-658-04222-6...

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