Exercise 1: Let S be a set and let X be a Banach space with norm ||x. Let B denote the set of all bounded function from S to X. (f: S→ X is in B if there is a number M such that for all s € S, f(s)||x ≤ M.) On B define ||f|| = sup || f(s)|| x- Show B with ||f|| is a Bancah Space. SES

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