Azagra Rueda, Daniel (1997) Diffeomorphisms between spheres and hyperplanes in infinitedimensional Banach spaces. Studia Mathematica, 125 (2). pp. 179186. ISSN 00393223

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Official URL: http://journals.impan.gov.pl/sm/
Abstract
We prove that for every infinitedimensional Banach space X with a Frechet differentiable norm, the sphere SX is diffeomorphic to each closed hyperplane in X. We also prove that every infinitedimensional Banach space Y having a (not necessarily equivalent) Cp norm (with p is an element of N boolean OR {infinity}) is Cp diffeomorphic to Y \ {0}.
Item Type:  Article 

Uncontrolled Keywords:  Infinitedimensional 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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