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=18184
Linear subspace. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Linear_subspace&oldid=18184
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article