Linear subspace
From Encyclopedia of Mathematics
vector subspace
A non-empty subset of a (linear) vector space
over a field
such that
itself is a vector space with respect to the operations of addition and multiplication by a scalar defined in
. A set
, where
, is called a linear variety or linear manifold.
How to Cite This Entry:
Linear subspace. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Linear_subspace&oldid=43513
Linear subspace. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Linear_subspace&oldid=43513
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article