About: Normed vector space

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rdfs:label	Espace vectoriel normé (fr) Espai vectorial normat (ca) Espaços normados (pt) Genormeerde vectorruimte (nl) Normed vector space (en) Normerat rum (sv) Normierter Raum (de) Spazio normato (it) Нормированное пространство (ru) فضاء متجهي معياري (ar) 賦範向量空間 (zh)
rdfs:comment	Un espace vectoriel normé (EVN) est un espace vectoriel muni d'une norme. Cette structure mathématique développe des propriétés géométriques de distance compatible avec les opérations de l'algèbre linéaire. Développée notamment par David Hilbert et Stefan Banach, cette notion est fondamentale en analyse et plus particulièrement en analyse fonctionnelle, avec l'utilisation d'espaces de Banach tels que les espaces Lp. (fr)
rdfs:seeAlso	http://mathworld.wolfram.com/NormedSpace.html http://www.universalis.fr/encyclopedie/espaces-vectoriels-normes
sameAs	Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space Normed vector space
Wikipage page ID	26058 (xsd:integer)
Wikipage revision ID	174471693 (xsd:integer)
dbo:wikiPageWikiLink	category-fr:Espace_vectoriel_normé dbpedia-fr:Adhérence,_intérieur_et_frontière_d'un_convexe dbpedia-fr:Adhérence_(mathématiques) Linear algebra Mathematical analysis Functional analysis Map (mathematics) Linear map Lipschitz continuity dbpedia-fr:Boule_(topologie) Compact space dbpedia-fr:Continuité_(mathématiques) dbpedia-fr:Continuité_uniforme dbpedia-fr:Convergence_uniforme dbpedia-fr:Corps_commutatif dbpedia-fr:David_Hilbert Dimension (vector space) dbpedia-fr:Distance_(mathématiques) Continuous dual space Convex set Countable set Natural number Lp space Complete metric space Banach space Hilbert space Sequence space Locally convex topological vector space Measure space Metric space Hausdorff space Topological space Vector space Quotient space (linear algebra) Topological vector space Closed set Cauchy-continuous function Bounded function Homogeneous function Georges Skandalis dbpedia-fr:Géométrie Homeomorphism Polarization identity dbpedia-fr:Image_réciproque Injective function dbpedia-fr:Intérieur_(topologie) dbpedia-fr:Inégalité_de_Cauchy-Schwarz dbpedia-fr:Inégalité_de_Minkowski dbpedia-fr:Inégalité_triangulaire Isometry dbpedia-fr:Nombre_complexe

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