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Smooth Partitions of Unity on Banach Spaces
Published online by Cambridge University Press: 20 November 2018
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.
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- Research Article
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- Copyright © Canadian Mathematical Society 1998