Linear topological space

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A (linear) vector space $L$ that is a topological space in which the action of addition and the action of multiplication by a scalar are continuous with respect to the given topology in $L$. See Topological vector space.

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