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Complete set of functionals

From Encyclopedia of Mathematics
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total set of functionals

A set of continuous linear functionals , defined on a linear topological space , such that there is no element , , on which the equality is satisfied for all . Every locally convex space has a complete set of functionals.

How to Cite This Entry:
Complete set of functionals. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Complete_set_of_functionals&oldid=32771
This article was adapted from an original article by M.I. Kadets (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article