Let M be a closed subspace of a Hilbert space H. Prove that MnM = {0} and that every h in H can be written uniquely as h = f +g, where f e M and gE M. %3D

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Let M be a closed subspace of a Hilbert space H. Prove that MnM = {0} and that every
h in H can be written uniquely as h = f +g, where f E M and ge M.
Transcribed Image Text:Let M be a closed subspace of a Hilbert space H. Prove that MnM = {0} and that every h in H can be written uniquely as h = f +g, where f E M and ge M.
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