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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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- Copyright © Canadian Mathematical Society 1998