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- Dual_topology abstract "In functional analysis and related areas of mathematics a dual topology is a locally convex topology on a dual pair, two vector spaces with a bilinear form defined on them, so that one vector space becomes the continuous dual of the other space.The different dual topologies for a given dual pair are characterized by the Mackey–Arens theorem. All locally convex topologies with their continuous dual are trivially a dual pair and the locally convex topology is a dual topology.Several topological properties depend only on the dual pair and not on the chosen dual topology and thus it is often possible to substitute a complicated dual topology by a simpler one.".
- Dual_topology wikiPageID "1790140".
- Dual_topology wikiPageLength "2842".
- Dual_topology wikiPageOutDegree "30".
- Dual_topology wikiPageRevisionID "666260161".
- Dual_topology wikiPageWikiLink Absolutely_convex_set.
- Dual_topology wikiPageWikiLink Barrelled_space.
- Dual_topology wikiPageWikiLink Bilinear_form.
- Dual_topology wikiPageWikiLink Bounded_set_(topological_vector_space).
- Dual_topology wikiPageWikiLink Category:Topology_of_function_spaces.
- Dual_topology wikiPageWikiLink Comparison_of_topologies.
- Dual_topology wikiPageWikiLink Dual_pair.
- Dual_topology wikiPageWikiLink Dual_space.
- Dual_topology wikiPageWikiLink Functional_analysis.
- Dual_topology wikiPageWikiLink George_Mackey.
- Dual_topology wikiPageWikiLink If_and_only_if.
- Dual_topology wikiPageWikiLink Linear_map.
- Dual_topology wikiPageWikiLink Locally_convex_topological_vector_space.
- Dual_topology wikiPageWikiLink Mackey_topology.
- Dual_topology wikiPageWikiLink Mathematics.
- Dual_topology wikiPageWikiLink Richard_Friederich_Arens.
- Dual_topology wikiPageWikiLink Topology_of_uniform_convergence.
- Dual_topology wikiPageWikiLink Vector_space.
- Dual_topology wikiPageWikiLink Weak_topology.
- Dual_topology wikiPageWikiLinkText "Dual topology".
- Dual_topology wikiPageWikiLinkText "Topology consistent with the duality".
- Dual_topology wikiPageWikiLinkText "dual topologies".
- Dual_topology wikiPageWikiLinkText "dual topology".
- Dual_topology wikiPageUsesTemplate Template:Functional_Analysis.
- Dual_topology wikiPageUsesTemplate Template:Reflist.
- Dual_topology wikiPageUsesTemplate Template:Unreferenced.
- Dual_topology subject Category:Topology_of_function_spaces.
- Dual_topology comment "In functional analysis and related areas of mathematics a dual topology is a locally convex topology on a dual pair, two vector spaces with a bilinear form defined on them, so that one vector space becomes the continuous dual of the other space.The different dual topologies for a given dual pair are characterized by the Mackey–Arens theorem.".
- Dual_topology label "Dual topology".
- Dual_topology sameAs Q5310243.
- Dual_topology sameAs 双対位相.
- Dual_topology sameAs m.05x4vw.
- Dual_topology sameAs Q5310243.
- Dual_topology wasDerivedFrom Dual_topology?oldid=666260161.
- Dual_topology isPrimaryTopicOf Dual_topology.