Question: Algebra the questions is from functional analysis by balmohan limaye. (Q10 and 11 section 5) 5-10 Let X be a closed subspace and X2

Algebra the questions is from functional analysis by balmohan limaye. (Q10 and

Algebra the questions is from functional analysis by balmohan limaye. (Q10 and 11 section 5) 5-10 Let X be a closed subspace and X2 be a finite dimensional subspace of a normed space X. Then X + X2 is closed in X. (Hint: Proof of 5.4(b)). 5-11 Let X be a normed space such that U(0, 1) is totally bounded. Then X is finite dimensional. (Hint: Proof of '(ii) implies (iii)' of Theorem 5.5) please prove both

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