Let H be a Hilbert space and let S,T∈B(H). Suppose that (Sh|k) = (Th|k) for all h,k ∈H. Show that S=T.

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A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

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A: Step 1: Step 2: Step 3: Step 4:

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