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- F-space abstract "In functional analysis, an F-space is a vector space V over the real or complex numbers together with a metric d : V × V → R so that Scalar multiplication in V is continuous with respect to d and the standard metric on R or C. Addition in V is continuous with respect to d. The metric is translation-invariant; i.e., d(x + a, y + a) = d(x, y) for all x, y and a in V The metric space (V, d) is completeSome authors call these spaces Fréchet spaces, but usually the term is reserved for locally convex F-spaces. The metric may or may not necessarily be part of the structure on an F-space; many authors only require that such a space be metrizable in a manner that satisfies the above properties.".
- F-space wikiPageID "200440".
- F-space wikiPageLength "2891".
- F-space wikiPageOutDegree "20".
- F-space wikiPageRevisionID "642002190".
- F-space wikiPageWikiLink Banach_space.
- F-space wikiPageWikiLink Category:F-spaces.
- F-space wikiPageWikiLink Complete_metric_space.
- F-space wikiPageWikiLink Completeness_(topology).
- F-space wikiPageWikiLink Complex_number.
- F-space wikiPageWikiLink Continuous_function.
- F-space wikiPageWikiLink Dual_space.
- F-space wikiPageWikiLink Fréchet_space.
- F-space wikiPageWikiLink Functional_analysis.
- F-space wikiPageWikiLink K-space_(functional_analysis).
- F-space wikiPageWikiLink Locally_convex.
- F-space wikiPageWikiLink Locally_convex_topological_vector_space.
- F-space wikiPageWikiLink Lp_space.
- F-space wikiPageWikiLink Metric_(mathematics).
- F-space wikiPageWikiLink Metrizable.
- F-space wikiPageWikiLink Metrization_theorem.
- F-space wikiPageWikiLink P-norm.
- F-space wikiPageWikiLink Quasi-Banach_algebra.
- F-space wikiPageWikiLink Quasinorm.
- F-space wikiPageWikiLink Real_number.
- F-space wikiPageWikiLink Taylor_series.
- F-space wikiPageWikiLink Translation-invariant_metric.
- F-space wikiPageWikiLink Vector_space.
- F-space wikiPageWikiLinkText "F-norm".
- F-space wikiPageWikiLinkText "F-space".
- F-space wikiPageWikiLinkText "F–norm".
- F-space wikiPageWikiLinkText "space".
- F-space hasPhotoCollection F-space.
- F-space wikiPageUsesTemplate Template:!.
- F-space wikiPageUsesTemplate Template:=.
- F-space wikiPageUsesTemplate Template:Citation.
- F-space wikiPageUsesTemplate Template:For.
- F-space wikiPageUsesTemplate Template:Functional_Analysis.
- F-space wikiPageUsesTemplate Template:Reflist.
- F-space subject Category:F-spaces.
- F-space hypernym V.
- F-space type MeanOfTransportation.
- F-space type Function.
- F-space type Space.
- F-space comment "In functional analysis, an F-space is a vector space V over the real or complex numbers together with a metric d : V × V → R so that Scalar multiplication in V is continuous with respect to d and the standard metric on R or C. Addition in V is continuous with respect to d.".
- F-space label "F-space".
- F-space sameAs F-空間.
- F-space sameAs F-espaço.
- F-space sameAs m.01cgrb.
- F-space sameAs F-пространство.
- F-space sameAs F-uzayı.
- F-space sameAs Q2664426.
- F-space sameAs Q2664426.
- F-space wasDerivedFrom F-space?oldid=642002190.
- F-space isPrimaryTopicOf F-space.