# Invariant subspace

From Encyclopedia of Mathematics

*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://www.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