# Dual pair

From Encyclopedia of Mathematics

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://www.encyclopediaofmath.org/index.php?title=Dual_pair&oldid=33765

This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article