Given a Normed Linear Space, prove that all open balls are convex.(adsbygoogle = window.adsbygoogle || []).push({});

A, a subset of the space is said to be convex if, for all pairs of points (x,y) in a, the point

z = x + t(y-x) belongs to A. (t goes from 0 to 1).

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# Homework Help: Prove Open Balls in an NLS are convex.

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