Smooth surjections without surjective restrictions

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Aron, Richard M. and Jaramillo Aguado, Jesús Ángel and Ransford, Thomas (2013) Smooth surjections without surjective restrictions. Journal of geometric analysis, 23 (4). pp. 2081-2090. ISSN 1050-6926

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Official URL: http://link.springer.com/article/10.1007%2Fs12220-012-9321-5

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Abstract

Let f : E -> F be a surjective mapping between two real or complex Banach spaces, with f having some strong differentiability properties. We investigate when there is a smaller Banach space G subset of E such that the restriction of f to G remains surjective.

Item Type:	Article
Uncontrolled Keywords:	Smooth surjective function; Surjective restriction
Subjects:	Sciences > Mathematics > Functions
ID Code:	23646
Deposited On:	21 Nov 2013 12:55
Last Modified:	10 Aug 2018 11:41

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