Please answer this is a FUNCTIONAL ANALYSIS question. I will upvote surely 1) Let X,Y be normed spaces and suppose BL(X,Y) and CL(X,Y) denote, respectively, the space of bounded linear operators from X to Y and the space of compact linear operators from X to Y. Show that CL(X,Y) is linear subspace of BL(X,Y). Also, Show that if Y is a Banach space, then CL(X,Y) is a closed subspace of BL(X,Y).

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A: (a), (b) , (c), (d)  are subspaces .

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