Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (Annals of Mathematics Studies, 179)
Lindenstrauss, Joram; Preiss, David; Ti?er, Jaroslav
ISBN 10: 0691153558 ISBN 13: 9780691153551
Editore: Princeton University Press, 2012
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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.
Informazioni sull?autore: 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 Tier is associate professor of mathematics at Czech Technical University in Prague.
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Titolo: Fréchet Differentiability of Lipschitz ...
Casa editrice: Princeton University Press
Data di pubblicazione: 2012
Legatura: Rilegato
Condizione: New
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Fr�chet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179) (Annals of Mathematics Studies (179))
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Gebunden. Condizione: 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-. Codice articolo 594884911
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Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces
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Princeton University Press Feb 2012, 2012
ISBN 10: 0691153558
ISBN 13: 9780691153551
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Buch. Condizione: 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. Codice articolo 9780691153551
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Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces
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Princeton University Press, US, 2012
ISBN 10: 0691153558
ISBN 13: 9780691153551
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Hardback. Condizione: 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. Codice articolo LU-9780691153551
Quantità: 5 disponibili
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Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces
Editore:
Princeton University Press, US, 2012
ISBN 10: 0691153558
ISBN 13: 9780691153551
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Hardback. Condizione: 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. Codice articolo LU-9780691153551
Quantità: 5 disponibili