# Linear topological space

From Encyclopedia of Mathematics

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.

**How to Cite This Entry:**

Linear topological space.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Linear_topological_space&oldid=31565

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