Measure, Integration & Real Analysis · Problem 6C.2

Banach Spaces — Sheldon Axler

Mathematics — Measure Theory · normed-space-closure-open-ball

Problem

Prove that if

V

is a normed vector space,

f \in V

, and

r > 0

, then

\overline{B(f,r)} = \overline{B}(f,r).