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- Dual_pair abstract "In functional analysis and related areas of mathematics a dual pair or dual system is a pair of vector spaces with an associated bilinear form. A common method in functional analysis, when studying normed vector spaces, is to analyze the relationship of the space to its continuous dual, the vector space of all possible continuous linear forms on the original space. A dual pair generalizes this concept to arbitrary vector spaces, with the duality being expressed by a bilinear form. Using the bilinear form, semi norms can be constructed to define a polar topology on the vector spaces and turn them into locally convex spaces, generalizations of normed vector spaces.".
- Dual_pair wikiPageID "1754365".
- Dual_pair wikiPageRevisionID "599228960".
- Dual_pair hasPhotoCollection Dual_pair.
- Dual_pair subject Category:Duality_theories.
- Dual_pair subject Category:Functional_analysis.
- Dual_pair type Abstraction100002137.
- Dual_pair type Cognition100023271.
- Dual_pair type DualityTheories.
- Dual_pair type Explanation105793000.
- Dual_pair type HigherCognitiveProcess105770664.
- Dual_pair type Process105701363.
- Dual_pair type PsychologicalFeature100023100.
- Dual_pair type Theory105989479.
- Dual_pair type Thinking105770926.
- Dual_pair comment "In functional analysis and related areas of mathematics a dual pair or dual system is a pair of vector spaces with an associated bilinear form. A common method in functional analysis, when studying normed vector spaces, is to analyze the relationship of the space to its continuous dual, the vector space of all possible continuous linear forms on the original space. A dual pair generalizes this concept to arbitrary vector spaces, with the duality being expressed by a bilinear form.".
- Dual_pair label "Dual pair".
- Dual_pair label "Para dwoista".
- Dual_pair label "ベクトル空間の双対系".
- Dual_pair sameAs ベクトル空間の双対系.
- Dual_pair sameAs Para_dwoista.
- Dual_pair sameAs m.05tbg4.
- Dual_pair sameAs Q5310229.
- Dual_pair sameAs Q5310229.
- Dual_pair sameAs Dual_pair.
- Dual_pair wasDerivedFrom Dual_pair?oldid=599228960.
- Dual_pair isPrimaryTopicOf Dual_pair.