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(Solved): Proposition 1.77. If (K1, (:, :),,), (K2, (:, :)) Are Hilbert Spaces, The Space Ki @ K2 Is A Vector ...

Proposition 1.77. If (K1, (:, :),,), (K2, (:, :)) are Hilbert spaces, the space Ki @ K2 is a vector space under the operation

Proposition 1.77. If (K1, (:, :),,), (K2, (:, :)) are Hilbert spaces, the space Ki @ K2 is a vector space under the operations a(x1, x2) = (aX1, AX2) and (x1, x2)+(y1, y2) = (x1 +41, x2 + y2). Proof. Exercise 22.

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