Question: Let f be a bounded linear functional on a Hilbert space H then show that every such f can be represented as f(x) =

Let f be a bounded linear functional on a Hilbert space H

Let f be a bounded linear functional on a Hilbert space H then show that every such f can be represented as f(x) = (x, z). Here, z is uniquely depending on f and is determined by f. Also, ||z|| = ||f |-

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