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Difference between revisions of "Linear topological space"

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A (linear) [[Vector space|vector space]] <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/l/l059/l059500/l0595001.png" /> 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 <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/l/l059/l059500/l0595002.png" />. See [[Topological vector space|Topological vector space]].
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A (linear) [[Vector space|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|Topological vector space]].

Latest revision as of 20:50, 11 April 2014

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