Difference between revisions of "Invariant subspace"
From Encyclopedia of Mathematics
(TeX) |
(Category:Linear and multilinear algebra; matrix theory) |
||
| Line 3: | Line 3: | ||
A subspace $U$ such that $gu\in U$ for all $u\in U$, $g\in M$. It is also called an $M$-invariant or $M$-admissible subspace. | A subspace $U$ such that $gu\in U$ for all $u\in U$, $g\in M$. It is also called an $M$-invariant or $M$-admissible subspace. | ||
| + | |||
| + | [[Category:Linear and multilinear algebra; matrix theory]] | ||
Latest revision as of 22:26, 14 November 2014
admissible subspace, of a vector space $V$ with respect to a given set $M$ of linear mappings of $V$ into itself
A subspace $U$ such that $gu\in U$ for all $u\in U$, $g\in M$. It is also called an $M$-invariant or $M$-admissible subspace.
How to Cite This Entry:
Invariant subspace. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Invariant_subspace&oldid=34503
Invariant subspace. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Invariant_subspace&oldid=34503
This article was adapted from an original article by Yu.I. Merzlyakov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article