Vector space value functions

Reference no: EM13133021

Confirm that (C ([a, b]) , II·II infinity ) where II f II infinity= max I f (x) I a<x<b (a is less than or equal to x and x is less than b)

for each f E C (Ia, bI) is a normed (real) vector space (consider real valued functions).

Reference no: EM13133021

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