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QUESTION
1 ((N )) = M + N . Exercise 4. Let M be a closed subspace of a normed linear space X. (a) Prove that if X is separable, then X/M is separable.
1 ((N )) = M + N . Exercise 4.21. Let M be a closed subspace of a normed linear space X. (a) Prove that if X is separable, then X/M is separable. (b) Prove that if X/M and M are both separable, then X is separable.
