Reducing subspace
id:
reducing-subspace-309-16576805
title:
Reducing subspace
text:
In linear algebra, a reducing subspace W of a linear map T : V → V from a Hilbert space V to itself is an invariant subspace of T whose orthogonal complement W ⊥ is also an invariant subspace of T . That is, T ⊆ W and T ⊆ W ⊥ . One says that the subspace W reduces the map T . One says that a linear map is reducible if it has a nontrivial reducing subspace. Otherwise one says it is irreducible. If V is of finite dimension r and W is a reducing subspace of the map T : V → V represented under basis
brand slug:
wiki
category slug:
encyclopedia
description:
Concept in linear algebra
original url:
https://en.wikipedia.org/wiki/Reducing_subspace
date created:
date modified:
2023-10-22T01:13:08Z
main entity:
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image:
fields total:
13
integrity:
14