EDB — 15C

Exercises

1. [15C]Let \((X,d)\) metric space and \(\mathcal F\) the set of uniformly continuous functions \(f:X→ℝ\), show that \(\mathcal F\) is a vector space.

   This is more generally true if \(f:X→ X_ 2\) where \(X_ 2\) is a normed vector space (to which we associate the distance derived from the norm).

   Solution 1

   [15D]↺↻