On the range of the derivative of a smooth mapping between Banach spaces

We survey recent results on the structure of the range of the derivative of a smooth mapping f between two Banach spaces X and Y. We recall some necessary conditions and some sufficient conditions on a subset A of ℒ(X,Y) for the existence of a Fréchet differentiable mapping f from X into Y so that f...

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Bibliographic Details
Main Author: Robert Deville
Format: Article
Language:English
Published: Wiley 2005-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/AAA.2005.499
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