 |
|
Smooth partitions of unity on Banach spaces |
Canad. Math. Bull. 41(1998), 145-150
Published:1998-06-01
Printed: Jun 1998
Printed: Jun 1998
- R. Fry
Abstract
It is shown that if a Banach space $X$ admits a $C^k$-smooth bump
function, and $X^{*}$ is Asplund, then $X$ admits $C^k$-smooth
partitions of unity.
| MSC Classifications: | 46B20 - Geometry and structure of normed linear spaces |