Let L. N" --;. H" be a linear operator. (a) Prove that if L is an isometry. then IIL(x)
Chapter 7, Problem 33(choose chapter or problem)
Let L. N" --;. H" be a linear operator. (a) Prove that if L is an isometry. then IIL(x) 11 forxin H". = Ilx li. (b) Prove that if L is an isometry and () is the angle betWeen vectors x and y in H". then the angle between L(x) and L(y) is also () .
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