Article
Smooth Lipschitz retractions of starlike bodies onto their boundaries in infinite-dimensional Banach spaces
Author/s | Azagra Rueda, Daniel
Cepedello Boiso, Manuel |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2001 |
Deposit Date | 2016-07-12 |
Published in |
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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 prove that
(1) The boundary ∂A is C
p Lipschitz contractible.
(2) There ... 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 prove that (1) The boundary ∂A is C p Lipschitz contractible. (2) There is a C p Lipschitz retraction from A onto ∂A. (3) There is a C p Lipschitz map T : A −→ A with no approximate fixed points. |
Citation | Azagra Rueda, D. y Cepedello Boiso, M. (2001). Smooth Lipschitz retractions of starlike bodies onto their boundaries in infinite-dimensional Banach spaces. Bulletin of the London Mathematical Society, 33, 443-453. |
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