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Smooth partitions of unity on Banach spaces

Published:1998-06-01
Printed: Jun 1998
• R. Fry
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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