Geodesic
On diffeomorphisms deleting weak compacta in Banach spaces
Daniel Azagra1 ; Alejandro Montesinos1
1Departamento de An{á}lisis Matem{á}tico Facultad de Ciencias Matem{á}ticas Universidad Complutense 28040 Madrid, Spain
Studia Mathematica, Tome 162 (2004) no. 3, pp. 229-244
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that if $X$ is an infinite-dimensional Banach space with $C^p$ smooth partitions of unity then $X$ and $X\setminus K$ are $C^p$ diffeomorphic for every weakly compact set $K\subset X$.
DOI : 10.4064/sm162-3-4
Keywords: prove infinite dimensional banach space smooth partitions unity setminus diffeomorphic every weakly compact set subset

Daniel Azagra  1   ; Alejandro Montesinos  1

1 Departamento de An{á}lisis Matem{á}tico Facultad de Ciencias Matem{á}ticas Universidad Complutense 28040 Madrid, Spain 
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Daniel Azagra; Alejandro Montesinos. On diffeomorphisms deleting weak compacta
 in Banach spaces. Studia Mathematica, Tome 162 (2004) no. 3, pp. 229-244. doi: 10.4064/sm162-3-4

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