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Can anyone give me some help on this problem please?
Let T be a linear operator on an inner product space V. Prove that ll T(x) ll = ll x ll if and only if <T(x), T(y)> = <x,y> for all x, y in V. The hint for this problem is to use the polar identities, but I don't know how to apply it here. I really appreciate if someone can help.
P.S: Sorry, I posted my topic in the wrong section. Please someone remove the other one in Exercises.
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