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  3. (c) let x and y be banach spaces and tebl(x, y). i

(c) Let x and y be Banach spaces and TEBL(X, Y). If R(T) is closed...

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(c) Let x and y be Banach spaces and TEBL(X, Y). If R(T) is closed in y, then show that R(T) is linearly homomorphic to Z(T): Is the converse true? Justify your answer. 3

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