Proposition 8.1.5: Supremum Norm and Uniform Convergence

A sequence fn: D R converges uniformly to f: D R if and only if
||fn - f||D = 0

Context Context

The proof follows immediately from the definitions.

Interactive Real Analysis, ver. 1.9.5
(c) 1994-2007, Bert G. Wachsmuth
Page last modified: Mar 28, 2007