Linear hull

From Encyclopedia of Mathematics
Jump to: navigation, search

of a set $A$ in a vector space $E$

The intersection $M$ of all subspaces containing $A$. The set $M$ is also called the subspace generated by $A$.


This is also called the linear envelope. The closure of the linear hull of a set $A$ is called the linear closure of this set.

How to Cite This Entry:
Linear hull. 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