RT Journal Article
T1 On diffeomorphisms deleting weak compacta in Banach spaces
A1 Azagra Rueda, Daniel
A1 Montesinos, Alejandro
AB The paper deals with the question, what can be said about smooth negligibility of compacta in those Banach spaces with smooth partitions of unity? It is inspired by the following theorem of Victor Klee and related results: If X is a non-reflexive Banach space or an infinite-dimensional Lp-space and K is a compact subset of X there exists a homeomorphism between X and X rK which is the identity outside a given neighborhood of K. The main result of the current article now is concerned with an infinite-dimensional Banach space X which has Cp-smooth partitions of unity for some p 2 N[{1}. Then, for every starlike body A with dist(K,X rA) > 0, there exists a Cp-diffeomorphism h:X !X rK such that h is the identity outside A.
PB Polish Acad Sciences Inst Mathematics
SN 0039-3223
YR 2004
FD 2004
LK https://hdl.handle.net/20.500.14352/49595
UL https://hdl.handle.net/20.500.14352/49595
LA eng
NO Marie Curie Fellowship of the European Community Training
NO Mobility of Researchers Programme under contract number
NO FPI Fellowship from the Comunidad de Madrid
DS Docta Complutense
RD 9 abr 2025