Citation
D. Azagra et Mc. Boiso, Smooth Lipschitz retractions of starlike bodies onto their boundaries in infinite-dimensional Banach spaces, B LOND MATH, 33, 2001, pp. 443-453
Citations number
14
Categorie Soggetti
Mathematics
Journal title
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
ISSN journal
00246093
→ ACNP
Volume
33
Year of publication
2001
Part
4
Pages
443 - 453
Database
ISI
SICI code
0024-6093(200107)33:<443:SLROSB>2.0.ZU;2-V
Abstract
Let X be an infinite-dimensional Banach space, and let A be a CP Lipschitz
bounded starlike body (for instance the unit ball of a smooth norm). We pro
ve that:
(1) the boundary partial derivativeA is C-P Lipschitz contractible;
(2) there is a C-P Lipschitz retraction from A onto partial derivativeA;
(3) there is a C-P Lipschitz map T : A --> A with no approximate fixed poin
ts.