Dual topology
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.
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Dual topology
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.
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In functional analysis and rel ...... ual topology by a simpler one.
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函数解析学および関連する数学の分野において、双対位相（そうつ ...... よりもより複雑な双対位相を代用することもしばしば可能となる。
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In functional analysis and rel ...... x topology is a dual topology.
@en
函数解析学および関連する数学の分野において、双対位相（そうつ ...... よりもより複雑な双対位相を代用することもしばしば可能となる。
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Dual topology
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双対位相
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