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- Dual_space abstract "In mathematics, any vector space, V, has a corresponding dual vector space (or just dual space for short) consisting of all linear functionals on V. Dual vector spaces for finite-dimensional vector spaces can be used for studying tensors. When applied to vector spaces of functions (which are typically infinite-dimensional), dual spaces are employed for defining and studying concepts like measures, distributions, and Hilbert spaces. Consequently, the dual space is an important concept in the study of functional analysis.There are two types of dual spaces: the algebraic dual space, and the continuous dual space. The algebraic dual space is defined for all vector spaces. When defined for a topological vector space there is a subspace of this dual space, corresponding to continuous linear functionals, which constitutes a continuous dual space.".
- Dual_space wikiPageID "7988".
- Dual_space wikiPageRevisionID "599623498".
- Dual_space hasPhotoCollection Dual_space.
- Dual_space subject Category:Duality_theories.
- Dual_space subject Category:Functional_analysis.
- Dual_space subject Category:Linear_algebra.
- Dual_space type Abstraction100002137.
- Dual_space type Cognition100023271.
- Dual_space type DualityTheories.
- Dual_space type Explanation105793000.
- Dual_space type HigherCognitiveProcess105770664.
- Dual_space type Process105701363.
- Dual_space type PsychologicalFeature100023100.
- Dual_space type Theory105989479.
- Dual_space type Thinking105770926.
- Dual_space comment "In mathematics, any vector space, V, has a corresponding dual vector space (or just dual space for short) consisting of all linear functionals on V. Dual vector spaces for finite-dimensional vector spaces can be used for studying tensors. When applied to vector spaces of functions (which are typically infinite-dimensional), dual spaces are employed for defining and studying concepts like measures, distributions, and Hilbert spaces.".
- Dual_space label "Dual space".
- Dual_space label "Duale ruimte".
- Dual_space label "Dualraum".
- Dual_space label "Espace dual".
- Dual_space label "Espacio dual".
- Dual_space label "Espaço dual".
- Dual_space label "Moduł dualny".
- Dual_space label "Spazio duale".
- Dual_space label "Сопряжённое пространство".
- Dual_space label "双対ベクトル空間".
- Dual_space label "对偶空间".
- Dual_space sameAs Duální_prostor.
- Dual_space sameAs Dualraum.
- Dual_space sameAs Espacio_dual.
- Dual_space sameAs Espace_dual.
- Dual_space sameAs Spazio_duale.
- Dual_space sameAs 双対ベクトル空間.
- Dual_space sameAs 쌍대공간.
- Dual_space sameAs Duale_ruimte.
- Dual_space sameAs Moduł_dualny.
- Dual_space sameAs Espaço_dual.
- Dual_space sameAs m.0273j.
- Dual_space sameAs Q752487.
- Dual_space sameAs Q752487.
- Dual_space sameAs Dual_space.
- Dual_space wasDerivedFrom Dual_space?oldid=599623498.
- Dual_space isPrimaryTopicOf Dual_space.