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Dual space

In mathematics, every vector space V {\displaystyle V} has a corresponding dual vector space (or just dual space for short) consisting of all linear forms on V , {\displaystyle V,} together with the vector space structure of pointwise addition and scalar multiplication by constants.

Algebraic dual space, Continuous dual space & Overview

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Overview

Algebraic dual space

Continuous dual space

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Dual space

Nodes123
Edges122
Triples37
Avg. degree1.98
Density0.01626
Components1

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Dual space

Top relations

related to Dimensional analysis · 8
Dual space → For, Fourier, Most, Similarly, The, This, Thus, Under
related to Quotient spaces and annihilators · 7
Dual space → Furthermore, If, In, Let, That, The, Within
related to Continuous dual space · 5
Dual space → Euclidean, For, Nevertheless, This, When
related to Algebraic dual space · 4
Dual space → For, Given, Since, The
related to Bilinear products and dual spaces · 3
Dual space → Any, But, If
related to Properties · 3
Dual space → Hausdorff, If, TVS
related to Transpose of a linear map · 3
Dual space → If, The, This
see also · 3
Dual space → Covariance, Duality, Pontryagin
is a · 1
Dual space → important concept in functional analysis.Early terms for dual include polarer Raum

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Important terminology

displaystyle dual space vector continuous linear v' spaces varphi isomorphism map transpose basis mathbf defined functional finite-dimensional set natural mathbb

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Dual spaceis aimportant concept in functional analysis.Early terms for dual include polarer Raum0.90text
Dual spacerelated to Algebraic dual spaceGiven0.60section
Dual spacerelated to Algebraic dual spaceSince0.60section
Dual spacerelated to Algebraic dual spaceThe0.60section
Dual spacerelated to Algebraic dual spaceFor0.60section
Dual spacerelated to Bilinear products and dual spacesIf0.60section
Dual spacerelated to Bilinear products and dual spacesBut0.60section
Dual spacerelated to Bilinear products and dual spacesAny0.60section
Dual spacerelated to Continuous dual spaceWhen0.60section
Dual spacerelated to Continuous dual spaceThis0.60section
Dual spacerelated to Continuous dual spaceFor0.60section
Dual spacerelated to Continuous dual spaceEuclidean0.60section

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