Geodesic
Smooth Partitions of Unity on Banach Spaces
Canadian mathematical bulletin, Tome 41 (1998) no. 2, pp. 145-150

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DOI

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.
DOI : 10.4153/CMB-1998-023-9
Mots-clés : 46B20 
Fry, R. Smooth Partitions of Unity on Banach Spaces. Canadian mathematical bulletin, Tome 41 (1998) no. 2, pp. 145-150. doi: 10.4153/CMB-1998-023-9
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     title = {Smooth {Partitions} of {Unity} on {Banach} {Spaces}},
     journal = {Canadian mathematical bulletin},
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     year = {1998},
     volume = {41},
     number = {2},
     doi = {10.4153/CMB-1998-023-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-023-9/}
}
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