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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 wikiPageRevisionID "590021016".
- Dual_topology hasPhotoCollection Dual_topology.
- 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. All locally convex topologies with their continuous dual are trivially a dual pair and the locally convex topology is a dual topology.".
- Dual_topology label "Dual topology".
- Dual_topology sameAs m.05x4vw.
- Dual_topology sameAs Q5310243.
- Dual_topology sameAs Q5310243.
- Dual_topology wasDerivedFrom Dual_topology?oldid=590021016.
- Dual_topology isPrimaryTopicOf Dual_topology.