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Smooth Partitions of Unity on Banach Spaces

Published online by Cambridge University Press:  20 November 2018

R. Fry
R. Fry*
Affiliation:
Department of Mathematics University of Northern British Columbia Prince George, BC V2N 4Z9
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Abstract

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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.

Keywords

46B20

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 41 , Issue 2 , 01 June 1998 , pp. 145 - 150
Copyright
Copyright © Canadian Mathematical Society 1998

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