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METRIC DIFFERENTIABILITY OF LIPSCHITZ MAPS

Part of: Functions of several variables Classical measure theory Existence theories Calculus on manifolds; nonlinear operators

Published online by Cambridge University Press:  15 October 2013

DONATELLA BONGIORNO
DONATELLA BONGIORNO*
Affiliation:
Università degli studi di Palermo, Dipartimento dell’Energia, Ingegneria dell’Informazione e Modelli Matematici (DEIM), Viale delle Scienze Ed. 9, 90128 Palermo, Italy email [email protected]
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Abstract

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An extension of Rademacher’s theorem is proved for Lipschitz mappings between Banach spaces without the Radon–Nikodým property.

Keywords

Lipschitz mapsRadon–Nikodým propertymetric differentiability

MSC classification

Secondary: 26B05: Continuity and differentiation questions 49J50: Fréchet and Gateaux differentiability 58C20: Differentiation theory (Gateaux, Fréchet, etc.) 28A15: Abstract differentiation theory, differentiation of set functions
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 96 , Issue 1 , February 2014 , pp. 25 - 35
Copyright
Copyright ©2013 Australian Mathematical Publishing Association Inc. 

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