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- Fréchet_space abstract "In functional analysis and related areas of mathematics, Fréchet spaces, named after Maurice Fréchet, are special topological vector spaces. They are generalizations of Banach spaces (normed vector spaces that are complete with respect to the metric induced by the norm). Fréchet spaces are locally convex spaces that are complete with respect to a translation invariant metric. In contrast to Banach spaces, the metric need not arise from a norm.Even though the topological structure of Fréchet spaces is more complicated than that of Banach spaces due to the lack of a norm, many important results in functional analysis, like the Hahn–Banach theorem, the open mapping theorem, and the Banach–Steinhaus theorem, still hold.Spaces of infinitely differentiable functions are typical examples of Fréchet spaces.".
- Fréchet_space wikiPageID "233801".
- Fréchet_space wikiPageRevisionID "603296591".
- Fréchet_space id "p/f041380".
- Fréchet_space title "Fréchet space".
- Fréchet_space subject Category:Fréchet_spaces.
- Fréchet_space subject Category:Topological_vector_spaces.
- Fréchet_space comment "In functional analysis and related areas of mathematics, Fréchet spaces, named after Maurice Fréchet, are special topological vector spaces. They are generalizations of Banach spaces (normed vector spaces that are complete with respect to the metric induced by the norm). Fréchet spaces are locally convex spaces that are complete with respect to a translation invariant metric.".
- Fréchet_space label "Espace de Fréchet".
- Fréchet_space label "Espacio de Fréchet".
- Fréchet_space label "Fréchet space".
- Fréchet_space label "Fréchet-Raum".
- Fréchet_space label "Fréchet-ruimte".
- Fréchet_space label "Przestrzeń Frécheta (analiza funkcjonalna)".
- Fréchet_space label "Spazio di Fréchet".
- Fréchet_space label "フレシェ空間".
- Fréchet_space sameAs Fr%C3%A9chet_space.
- Fréchet_space sameAs Fréchet-Raum.
- Fréchet_space sameAs Espacio_de_Fréchet.
- Fréchet_space sameAs Espace_de_Fréchet.
- Fréchet_space sameAs Spazio_di_Fréchet.
- Fréchet_space sameAs フレシェ空間.
- Fréchet_space sameAs 프레셰_공간.
- Fréchet_space sameAs Fréchet-ruimte.
- Fréchet_space sameAs Przestrzeń_Frécheta_(analiza_funkcjonalna).
- Fréchet_space sameAs Q1471397.
- Fréchet_space sameAs Q1471397.
- Fréchet_space wasDerivedFrom Fréchet_space?oldid=603296591.