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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 wikiPageLength "13409".
- Fréchet_space wikiPageOutDegree "65".
- Fréchet_space wikiPageRevisionID "695612214".
- Fréchet_space wikiPageWikiLink Absolute_value.
- Fréchet_space wikiPageWikiLink Academic_Press.
- Fréchet_space wikiPageWikiLink Baire_category_theorem.
- Fréchet_space wikiPageWikiLink Banach_space.
- Fréchet_space wikiPageWikiLink Brauner_space.
- Fréchet_space wikiPageWikiLink Category:F-spaces.
- Fréchet_space wikiPageWikiLink Category:Fréchet_spaces.
- Fréchet_space wikiPageWikiLink Category:Topological_vector_spaces.
- Fréchet_space wikiPageWikiLink Cauchy_sequence.
- Fréchet_space wikiPageWikiLink Closed_graph_theorem.
- Fréchet_space wikiPageWikiLink Compact_space.
- Fréchet_space wikiPageWikiLink Complete_metric_space.
- Fréchet_space wikiPageWikiLink Continuous_function.
- Fréchet_space wikiPageWikiLink Countable_set.
- Fréchet_space wikiPageWikiLink Diffeomorphism.
- Fréchet_space wikiPageWikiLink Differential_equation.
- Fréchet_space wikiPageWikiLink Euclidean_space.
- Fréchet_space wikiPageWikiLink Exponential_type.
- Fréchet_space wikiPageWikiLink F-space.
- Fréchet_space wikiPageWikiLink Function_(mathematics).
- Fréchet_space wikiPageWikiLink Functional_analysis.
- Fréchet_space wikiPageWikiLink Gâteaux_derivative.
- Fréchet_space wikiPageWikiLink Hahn–Banach_theorem.
- Fréchet_space wikiPageWikiLink Hausdorff_space.
- Fréchet_space wikiPageWikiLink Holomorphic_function.
- Fréchet_space wikiPageWikiLink Induced_topology.
- Fréchet_space wikiPageWikiLink Inverse_function_theorem.
- Fréchet_space wikiPageWikiLink LF-space.
- Fréchet_space wikiPageWikiLink Lie_algebra.
- Fréchet_space wikiPageWikiLink Lie_group.
- Fréchet_space wikiPageWikiLink Limit_(mathematics).
- Fréchet_space wikiPageWikiLink Linear_map.
- Fréchet_space wikiPageWikiLink Locally_convex_topological_vector_space.
- Fréchet_space wikiPageWikiLink Lp_space.
- Fréchet_space wikiPageWikiLink Manifold.
- Fréchet_space wikiPageWikiLink Mathematics.
- Fréchet_space wikiPageWikiLink Maurice_René_Fréchet.
- Fréchet_space wikiPageWikiLink Metric_(mathematics).
- Fréchet_space wikiPageWikiLink Nash–Moser_theorem.
- Fréchet_space wikiPageWikiLink Norm_(mathematics).
- Fréchet_space wikiPageWikiLink Normed_vector_space.
- Fréchet_space wikiPageWikiLink Open_mapping_theorem_(functional_analysis).
- Fréchet_space wikiPageWikiLink Open_set.
- Fréchet_space wikiPageWikiLink Product_topology.
- Fréchet_space wikiPageWikiLink Riemannian_manifold.
- Fréchet_space wikiPageWikiLink Sequence_space.
- Fréchet_space wikiPageWikiLink Smoothness.
- Fréchet_space wikiPageWikiLink Springer_Publishing.
- Fréchet_space wikiPageWikiLink Stereotype_space.
- Fréchet_space wikiPageWikiLink Topological_space.
- Fréchet_space wikiPageWikiLink Topological_vector_space.
- Fréchet_space wikiPageWikiLink Uniform_boundedness_principle.
- Fréchet_space wikiPageWikiLink Uniform_convergence.
- Fréchet_space wikiPageWikiLink Vector_bundle.
- Fréchet_space wikiPageWikiLink Vector_space.
- Fréchet_space wikiPageWikiLinkText "Fréchet space".
- Fréchet_space wikiPageWikiLinkText "Fréchet vector space".
- Fréchet_space wikiPageWikiLinkText "Fréchet".
- Fréchet_space wikiPageWikiLinkText "entirely different meaning".
- Fréchet_space wikiPageWikiLinkText "quasi–normed".
- Fréchet_space id "p/f041380".
- Fréchet_space title "Fréchet space".
- Fréchet_space wikiPageUsesTemplate Template:About.
- Fréchet_space wikiPageUsesTemplate Template:Citation.
- Fréchet_space wikiPageUsesTemplate Template:Functional_Analysis.
- Fréchet_space wikiPageUsesTemplate Template:Main.
- Fréchet_space wikiPageUsesTemplate Template:Springer.
- Fréchet_space subject Category:F-spaces.
- Fréchet_space subject Category:Fréchet_spaces.
- Fréchet_space subject Category:Topological_vector_spaces.
- Fréchet_space hypernym Spaces.
- Fréchet_space type AnatomicalStructure.
- Fréchet_space type Diacritic.
- Fréchet_space type Redirect.
- Fréchet_space type Space.
- 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 "Fréchet space".
- Fréchet_space sameAs Q1471397.
- 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 m.01hzvp.
- Fréchet_space sameAs Пространство_Фреше.
- Fréchet_space sameAs Q1471397.
- Fréchet_space wasDerivedFrom Fréchet_space?oldid=695612214.
- Fréchet_space isPrimaryTopicOf Fréchet_space.