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Azagra Rueda, Daniel
(1997)
*Diffeomorphisms between spheres and hyperplanes in infinite-dimensional Banach spaces.*
Studia Mathematica, 125
(2).
pp. 179-186.
ISSN 0039-3223

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Official URL: http://journals.impan.gov.pl/sm/

## Abstract

We prove that for every infinite-dimensional Banach space X with a Frechet differentiable norm, the sphere S-X is diffeomorphic to each closed hyperplane in X. We also prove that every infinite-dimensional Banach space Y having a (not necessarily equivalent) C-p norm (with p is an element of N boolean OR {infinity}) is C-p diffeomorphic to Y \ {0}.

Item Type: | Article |
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Uncontrolled Keywords: | Infinite-dimensional Banach space; Unit sphere; Hyperplane; Diffeomorphism |

Subjects: | Sciences > Mathematics > Functions |

ID Code: | 12280 |

Deposited On: | 23 Feb 2011 10:43 |

Last Modified: | 06 Feb 2014 09:21 |

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