On diffeomorphisms deleting weak compacta in Banach spaces

Daniel Azagra, and Alejandro Montesinos. "On diffeomorphisms deleting weak compacta in Banach spaces." Studia Mathematica 162.3 (2004): 229-244. <http://eudml.org/doc/284549>.

@article{DanielAzagra2004,
abstract = {We prove that if X is an infinite-dimensional Banach space with $C^\{p\}$ smooth partitions of unity then X and X∖ K are $C^\{p\}$ diffeomorphic for every weakly compact set K ⊂ X.},
author = {Daniel Azagra, Alejandro Montesinos},
journal = {Studia Mathematica},
keywords = {diffeomorphisms in Banach spaces; weak compacta; smooth partitions of unity},
language = {eng},
number = {3},
pages = {229-244},
title = {On diffeomorphisms deleting weak compacta in Banach spaces},
url = {http://eudml.org/doc/284549},
volume = {162},
year = {2004},
}

TY - JOUR
AU - Daniel Azagra
AU - Alejandro Montesinos
TI - On diffeomorphisms deleting weak compacta in Banach spaces
JO - Studia Mathematica
PY - 2004
VL - 162
IS - 3
SP - 229
EP - 244
AB - We prove that if X is an infinite-dimensional Banach space with $C^{p}$ smooth partitions of unity then X and X∖ K are $C^{p}$ diffeomorphic for every weakly compact set K ⊂ X.
LA - eng
KW - diffeomorphisms in Banach spaces; weak compacta; smooth partitions of unity
UR - http://eudml.org/doc/284549
ER -