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invariant subspace : ウィキペディア英語版
invariant subspace
In mathematics, an invariant subspace of a linear mapping ''T'' : ''V'' → ''V '' from some vector space ''V'' to itself is a subspace ''W'' of ''V'' that is preserved by ''T''; that is, ''T''(''W'') ⊆ ''W''.
== General description ==

Consider a linear mapping T that transforms:
:T:\mathbb^n \to \mathbb^n
An invariant subspace W of T has the property that all vectors v \in W are transformed by T into vectors also contained in W. This can be stated as
:v \in W \Rightarrow T(v) \in W

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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