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      par auteur:
     
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  •  Lindenstrauss , Joram , 1936-2012
     
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  •  Preiss , David , 1947-....
     
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  •  Tišer , Jaroslav , 1957-....
     
     
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    Auteur : 
    Lindenstrauss , Joram , 1936-2012
    Preiss , David , 1947-....
    Tišer , Jaroslav , 1957-....
    Titre : 
    Fréchet differentiability of Lipschitz functions and porous sets in Banach spaces , Joram Lindenstrauss, David Preiss, Jaroslav Tišer
    Editeur : 
    Princeton N.J : Princeton University Press , 2012
    Collection : 
    Annals of Mathematics Studies ; 179
    ISBN: 
    978-1-400-84269-8
    978-1-4008-4269-8
    Notes : 
    La pagination de l'édition imprimée correspondante est de : 440 p.
    Biographical note: Joram Lindenstrauss is professor emeritus of mathematics at the Hebrew University of Jerusalem. David Preiss is professor of mathematics at the University of Warwick. Jaroslav Ti¿er is associate professor of mathematics at Czech Technical University in Prague
    Main description: This book makes a significant inroad into the unexpectedly difficult question of existence of Fréchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. Because the question turns out to be closely related to porous sets in Banach spaces, it provides a bridge between descriptive set theory and the classical topic of existence of derivatives of vector-valued Lipschitz functions. The topic is relevant to classical analysis and descriptive set theory on Banach spaces. The book opens several new research directions in this area of geometric nonlinear functional analysis. The new methods developed here include a game approach to perturbational variational principles that is of independent interest. Detailed explanation of the underlying ideas and motivation behind the proofs of the new results on Fréchet differentiability of vector-valued functions should make these arguments accessible to a wider audience. The most important special case of the differentiability results, that Lipschitz mappings from a Hilbert space into the plane have points of Fréchet differentiability, is given its own chapter with a proof that is independent of much of the work done to prove more general results. The book raises several open questions concerning its two main topics
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    URL: 
    (Accès réservé aux étudiants de l'ENSEA) http://univ.scholarvox.com.ez-proxy.ensea.fr/book/88838074
    Sujet : 
    Banach spaces.
    Calculus of variations
    Fréchet spaces
    Functional analysis.
    Lipschitz spaces.
    Mathematics, other
    Mathematics.
    Mathematik
    MATHEMATICS -- Calculus
    MATHEMATICS -- Mathematical Analysis
    MATHEMATICS -- Set Theory
    Banach spaces.
    Calculus of variations
    Functional analysis.
    Banach, Espaces de
    Calcul des variations
    Analyse fonctionnelle
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