About: Topological vector space

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rdfs:label	Espace vectoriel topologique (fr) Espai vectorial topològic (ca) Espaço vectorial topológico (pt) Spazio vettoriale topologico (it) Topological vector space (en) Topologische vectorruimte (nl) Topologischer Vektorraum (de) Topologiskt vektorrum (sv) فضاء متجهي طوبولوجي (ar) Топологическое векторное пространство (ru) 拓撲向量空間 (zh)
rdfs:comment	En mathématiques, les espaces vectoriels topologiques sont une des structures de base de l'analyse fonctionnelle. Ce sont des espaces munis d'une structure topologique associée à une structure d'espace vectoriel, avec des relations de compatibilité entre les deux structures. Les exemples les plus simples d'espaces vectoriels topologiques sont les espaces vectoriels normés, parmi lesquels figurent les espaces de Banach, en particulier les espaces de Hilbert. (fr)
rdfs:seeAlso	http://mathworld.wolfram.com/TopologicalVectorSpace.html https://ncatlab.org/nlab/show/topological%20vector%20space https://ncatlab.org/nlab/show/topological_vector_space https://www.jstor.org/topic/topological-vector-spaces
sameAs	Topological vector space Topological vector space Topological vector space Topological vector space Topological vector space Topological vector space Topological vector space Topological vector space Topological vector space Topological vector space Topological vector space Topological vector space Topological vector space Topological vector space Topological vector space Topological vector space Topological vector space Topological vector space Topological vector space Topological vector space Topological vector space Topological vector space Topological vector space Topological vector space Topological vector space Topological vector space Topological vector space Topological vector space Topological vector space
Wikipage page ID	512660 (xsd:integer)
Wikipage revision ID	189944237 (xsd:integer)
dbo:wikiPageWikiLink	dbpedia-fr:Adhérence,_intérieur_et_frontière_d'un_convexe dbpedia-fr:Adhérence_(mathématiques) Alexander Grothendieck Functional analysis Topological ring dbpedia-fr:Cambridge_University_Press category-fr:Espace_vectoriel_topologique Compact space dbpedia-fr:Continuité_(mathématiques) Convex set Complete metric space Banach space Fréchet space Hilbert space Montel space dbpedia-fr:Espace_de_Schwartz_(général) Euclidean space Locally convex topological vector space Nuclear space Zero vector space Inner product space Reflexive space Hausdorff space dbpedia-fr:Espace_tonnelé Topological space Vector space Normed vector space Quotient space (linear algebra) Topological vector space Closed set Minkowski functional dbpedia-fr:François_Trèves Graduate Texts in Mathematics Topological group dbpedia-fr:Grundlehren_der_mathematischen_Wissenschaften Hermitian matrix Homeomorphism Direct limit dbpedia-fr:Morphisme dbpedia-fr:Nicolas_Bourbaki dbpedia-fr:Norme_(mathématiques) Bounded set (topological vector space) dbpedia-fr:Produit_scalaire dbpedia-fr:Scalaire_(mathématiques) dbpedia-fr:Semi-norme dbpedia-fr:Somme_de_Minkowski Linear subspace dbpedia-fr:Springer_Science+Business_Media Mathematical structure dbpedia-fr:Théorie_des_catégories dbpedia-fr:Théorème_de_Baire Hahn–Banach theorem Topology

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