Difference between revisions of "Invariant subspace"
From Encyclopedia of Mathematics
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| − | ''admissible subspace, of a [[Vector space|vector space]] | + | {{TEX|done}} |
| + | ''admissible subspace, of a [[Vector space|vector space]] $V$ with respect to a given set $M$ of linear mappings of $V$ into itself'' | ||
| − | A 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. |
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| + | [[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=12241
Invariant subspace. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Invariant_subspace&oldid=12241
This article was adapted from an original article by Yu.I. Merzlyakov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article