f P is the projection on a closed linear subspace M of a Hilbert space H, then M is invariant under an operator T if and only if TP = PTP.
f P is the projection on a closed linear subspace M of a Hilbert space H, then M is invariant under an operator T if and only if TP = PTP.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.2: Vector Spaces
Problem 44E: Prove that in a given vector space V, the additive inverse of a vector is unique.
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If P is the projection on a closed linear subspace M of a Hilbert space H, then M is invariant under an operator T if and only if TP = PTP.
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