Invariant subspace

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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.

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Invariant subspace. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by Yu.I. Merzlyakov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article