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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 wikiPageRevisionID "590021044".
- F-space hasPhotoCollection F-space.
- F-space subject Category:F-spaces.
- F-space subject Category:Functional_analysis.
- F-space subject Category:Topological_vector_spaces.
- F-space type Abstraction100002137.
- F-space type Attribute100024264.
- F-space type Space100028651.
- F-space type TopologicalVectorSpaces.
- 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-espaço".
- F-space label "F-space".
- F-space label "F-пространство".
- F-space label "F-空間".
- F-space sameAs F-空間.
- F-space sameAs F-espaço.
- F-space sameAs m.01cgrb.
- F-space sameAs Q2664426.
- F-space sameAs Q2664426.
- F-space sameAs F-space.
- F-space wasDerivedFrom F-space?oldid=590021044.
- F-space isPrimaryTopicOf F-space.