Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces [electronic resource]

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자료유형	단행본
서명/저자사항	Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces [electronic resource] / Joram.
개인저자	Lindenstrauss, Joram.  Preiss, David.  Tiaer, Jaroslav.
발행사항	Princeton: Princeton University Press, 2012.
형태사항	1 online resource (436 p.).
총서사항	Annals of mathematics studies ;no. 179
기타형태 저록	Print version: Lindenstrauss, Joram Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces Princeton : Princeton University Press,c2012 9780691153568
ISBN	9781400842698 (electronic bk.) 1400842697 (electronic bk.) 9780691153551 (hbk.) 0691153558 (hbk.) 9780691153568 (pbk.) 0691153566 (pbk.)
기타표준부호	9786613379955
일반주기	Description based upon print version of record. 14.7 Proof of Theorem
서지주기	Includes bibliographical references and index.
내용주기	Cover; Title Page; Copyright Page; Table of Contents; Chapter 1. Introduction; Chapter 2. Gateaux Dfferentiability of Lipschitz Functions; Chapter 3. Smoothness, Convexity, Porosity, and Separable Determination; Chapter 4. e-Frechet Differentiability; Chapter 5. G-Null and Gn-Null Sets; Chapter 6. Frechet Differentiability Except for G-Null Sets; Chapter 7. Variational Principles; Chapter 8. Smoothness and Asymptotic Smoothness; Chapter 9. Preliminaries to Main Results; Chapter 10. Porosity, Gn- and G-Null Sets; Chapter 11. Porosity and e-Frechet Differentiability; Chapter 12. Fre?chet Differentiability of Real-Valued Functions; Chapter 13. Frechet Differentiability of Vector-Valued Functions; Chapter 14. Unavoidable Porous Sets and Nondifferentiable Maps; Chapter 15. Asymptotic Fréchet differentiability; Chapter 16. Differentiability of Lipschitz maps on Hilbert spaces
요약	This book makes a significant inroad into the unexpectedly difficult question of existence of Fre?chet 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.
일반주제명	Mathematics. Banach spaces. Calculus of variations. Functional analysis. MATHEMATICS / Calculus MATHEMATICS / Mathematical Analysis
분류기호(DDC)	515.88
언어	영어
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