Completions of normed algebras of differentiable functions

Details Completions of normed algebras of differentiable functions Completions of normed algebras of differentiable functions

2003-10-13

arxiv.org/abs/math/0310181v1

Mathematics

Functional Analysis

18 pages LaTeX, one figure

Scientific paper

In this paper we look at normed spaces of differentiable functions on compact plane sets, including the spaces of infinitely differentiable functions originally considered by Dales and Davie. For many compact plane sets the classical definitions give rise to incomplete spaces. We introduce an alternative definition of differentiability which allows us to describe the completions of these spaces. We also consider some associated problems of polynomial and rational approximation.

Affiliated with

Also associated with

No associations

Rating

Completions of normed algebras of differentiable functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Completions of normed algebras of differentiable functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Completions of normed algebras of differentiable functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-639530