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Math Help - Orthogonal Projection

  1. #1
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    Orthogonal Projection

    If E is a projection on V with range W and suppose \|Ex\| \le \|x\| for all x \in V, prove that E is in fact an orthogonal projection on W.
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  2. #2
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    Re: Orthogonal Projection

    If E is not orthogonal on W, then there exist some other subspace, U, such that E is orthogonal on U. Let x be a vector in U and show that ||Ex||> ||x||.
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