Difference between revisions of "Linear hull"
From Encyclopedia of Mathematics
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| − | ''of a set | + | {{TEX|done}} |
| + | ''of a set $A$ in a vector space $E$'' | ||
| − | The intersection | + | The intersection $M$ of all subspaces containing $A$. The set $M$ is also called the subspace generated by $A$. |
====Comments==== | ====Comments==== | ||
| − | This is also called the linear envelope. The closure of the linear hull of a set | + | This is also called the linear envelope. The closure of the linear hull of a set $A$ is called the [[Linear closure|linear closure]] of this set. |
Revision as of 15:40, 13 July 2014
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 $A$.
Comments
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: http://encyclopediaofmath.org/index.php?title=Linear_hull&oldid=12870
Linear hull. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Linear_hull&oldid=12870
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article