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Sur le même 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
Parcourir le catalogue
par auteur:
Lindenstrauss , Joram , 1936-2012
Preiss , David , 1947-....
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:
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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
Exemplaires
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