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Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces - Couverture rigide
Synopsis
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.Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
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 Tišer is associate professor of mathematics at Czech Technical University in Prague.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Fr�chet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179) (Annals of Mathematics Studies (179))
Edité par
Princeton University Press, 2012
ISBN 10 : 0691153558
ISBN 13 : 9780691153551
Neuf
Couverture rigide
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Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (Am-179)
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PRINCETON UNIV PR, 2012
ISBN 10 : 0691153558
ISBN 13 : 9780691153551
Neuf
Couverture rigide
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Gebunden. Etat : New. Focuses on the difficult question of existence of Frchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. This book provides a bridge between descriptive set theory and the classical topic of existence of derivatives of vector-. N° de réf. du vendeur 594884911
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Fr?chet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces
Edité par
Princeton University Press, 2012
ISBN 10 : 0691153558
ISBN 13 : 9780691153551
Neuf
Couverture rigide
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HRD. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur WP-9780691153551
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Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (Annals of Mathematics Studies, 179)
Edité par
Princeton University Press, 2012
ISBN 10 : 0691153558
ISBN 13 : 9780691153551
Neuf
Couverture rigide
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Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces
Edité par
Princeton University Press Feb 2012, 2012
ISBN 10 : 0691153558
ISBN 13 : 9780691153551
Neuf
Couverture rigide
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Buch. Etat : Neu. Neuware - 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. N° de réf. du vendeur 9780691153551
Quantité disponible : 1 disponible(s)
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Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces Format: Hardcover
Edité par
Princeton University Press, 2012
ISBN 10 : 0691153558
ISBN 13 : 9780691153551
Ancien ou d'occasion
Couverture rigide
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Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces Format: Hardcover
Edité par
Princeton University Press, 2012
ISBN 10 : 0691153558
ISBN 13 : 9780691153551
Neuf
Couverture rigide
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Etat : New. Brand New. N° de réf. du vendeur 9780691153551
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Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces
Edité par
Princeton University Press, US, 2012
ISBN 10 : 0691153558
ISBN 13 : 9780691153551
Neuf
Couverture rigide
Vendeur : Rarewaves USA, OSWEGO, IL, Etats-Unis
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Hardback. Etat : New. This book makes a significant inroad into the unexpectedly difficult question of existence of Frechet 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 Frechet 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 Frechet 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. N° de réf. du vendeur LU-9780691153551
Quantité disponible : 5 disponible(s)
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Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces
Edité par
Princeton University Press, US, 2012
ISBN 10 : 0691153558
ISBN 13 : 9780691153551
Neuf
Couverture rigide
Vendeur : Rarewaves USA United, OSWEGO, IL, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Hardback. Etat : New. This book makes a significant inroad into the unexpectedly difficult question of existence of Frechet 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 Frechet 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 Frechet 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. N° de réf. du vendeur LU-9780691153551
Quantité disponible : 5 disponible(s)
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Fr?chet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179)
Edité par
Princeton University Press, 2012
ISBN 10 : 0691153558
ISBN 13 : 9780691153551
Neuf
Couverture rigide
Vendeur : Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irlande
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Etat : New. Focuses on the difficult question of existence of Frchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. This book provides a bridge between descriptive set theory and the classical topic of existence of derivatives of vector-valued Lipschitz functions. Series: Annals of Mathematics Studies. Num Pages: 440 pages. BIC Classification: PBKF. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 28. Weight in Grams: 485. . 2012. Hardcover. . . . . N° de réf. du vendeur V9780691153551
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