Smooth functions and partitions of unity on certain Banach spaces
Functional Analysis
2008-02-03 v1
Abstract
We construct infinitely differentiable norms and partitions of unity for a class of Banach spaces which includes all spaces with a countable compact space, and all spaces with an ordinal.
Cite
@article{arxiv.math/9509216,
title = {Smooth functions and partitions of unity on certain Banach spaces},
author = {Richard Haydon},
journal= {arXiv preprint arXiv:math/9509216},
year = {2008}
}