Information | |
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has gloss | eng: In functional analysis and related areas of mathematics barrelled spaces are Hausdorff topological vector spaces where every barrelled set in the space is a neighbourhood for the zero vector. A barrelled set or a barrel in a topological vector space is a set which is convex, balanced, absorbing and closed. Barrelled spaces are studied because the Banach–Steinhaus theorem still holds for them. |
lexicalization | eng: Barrelled space |
instance of | e/Topological vector space |
Meaning | |
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German | |
has gloss | deu: Tonnelierte Räume sind spezielle lokalkonvexe Vektorräume, in denen der Satz von Banach-Steinhaus gilt. Diese Räume lassen sich durch ihre Nullumgebungsbasen charakterisieren. |
lexicalization | deu: Tonnelierter Raum |
French | |
has gloss | fra: En analyse fonctionnelle et dans les domaines proches de mathématiques, un ensemble tonnelé ou un tonneau dans un espace vectoriel topologique est un ensemble qui est convexe, absorbant, fermé et équilibré (de manière mnémotechnique, c'est un tonneau de café). |
lexicalization | fra: Ensemble tonnele |
lexicalization | fra: ensemble tonnelé |
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