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Difference between revisions of "Dual pair"

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A pair <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/d/d034/d034110/d0341101.png" /> of vector spaces over the same field together with a non-degenerate bilinear form <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/d/d034/d034110/d0341102.png" /> on <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/d/d034/d034110/d0341103.png" />. See [[Duality|Duality]] in the theory of topological vector spaces.
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A pair $(E,E')$ of vector spaces over the same field together with a non-degenerate bilinear form $(x,x')$ on $E\times E'$.  
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See also [[Duality|Duality]] in the theory of [[topological vector space]]s.
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[[Category:Linear and multilinear algebra; matrix theory]]

Latest revision as of 21:43, 17 October 2014

A pair $(E,E')$ of vector spaces over the same field together with a non-degenerate bilinear form $(x,x')$ on $E\times E'$.

See also Duality in the theory of topological vector spaces.

How to Cite This Entry:
Dual pair. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Dual_pair&oldid=18785
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article