On diffeomorphisms deleting weak compacta in Banach spaces
Daniel Azagra ; Alejandro Montesinos
Studia Mathematica, Tome 162 (2004), p. 229-244 / Harvested from The Polish Digital Mathematics Library
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We prove that if X is an infinite-dimensional Banach space with Cp smooth partitions of unity then X and X∖ K are Cp diffeomorphic for every weakly compact set K ⊂ X.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:284549 
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Daniel Azagra; Alejandro Montesinos. On diffeomorphisms deleting weak compacta in Banach spaces. Studia Mathematica, Tome 162 (2004) pp. 229-244. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm162-3-4/