Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179) (Annals of Mathematics Studies) - Image 1

£60.00

Princeton University Press Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179) (Annals of Mathematics Studies)

Name: Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179) (Annals of Mathematics Studies)
Brand: Princeton University Press
Price: 60.0 GBP
Availability: InStock

Functional Analysis

Price History & Forecast

Last 41 days • 41 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 41 days • 1 price levels

Days at Price

Price Analysis

Most common price: £60 (41 days, 100.0%)

Price range: £60 - £60

Price levels: 1 different prices over 41 days

Description

Review "[T]his is a very deep and complete study on the differentiability of Lipschitz mappings between Banach spaces, an unavoidable reference for anyone seriously interested in this topic."---Daniel Azagra, European Mathematical Society "The book is well written--as one would expect from its distinguished authors, including the late Joram Lindestrauss (1936-2012). It contains many fascinating and profound results. It no doubt will become an important resource for anyone who is seriously interested in the differentiability of functions between Banach spaces."---J. Borwein and Liangjin Yao, Mathematical Reviews Clippings "We should be grateful to (the late) Joram Lindenstrauss, David Preiss, and Jaroslav Tiser for providing us with this splendid book which dives into the deepest fields of functional analysis, where the basic but still strange operation called differentiation is investigated. More than a century after Lebesgue, our understanding is not complete. But thanks to the contribution of these three authors, and thanks to this book, we know a fair share of beautiful theorems and challenging problems."---Gilles Godefroy, Bulletin of the American Mathematical Society Product Description 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. About the Author 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.

Product Specifications

Brand: Princeton University Press
Format: Paperback
ASIN: 0691153566
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Functional Analysis
Domain: Amazon UK
Release Date: 21 February 2012
Listed Since: 13 May 2011

Barcode

No barcode data available

Princeton University Press Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179) (Annals of Mathematics Studies)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Nonlinear Analysis, Differential Equations, and Applications: 173 (Springer Optimization and Its Applications, 173)

Frontiers in Functional Equations and Analytic Inequalities

Principles of Functional Analysis (Graduate Studies in Mathematics)

Functional Analysis (Graduate Studies in Mathematics)

CRC Press: Higher Order Functional Differential Equations Book

Measures and Differential Equations in Infinite-dimensional Space: v. 76 (Mathematics and its Applications)

Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

Fixed Point Theory in Metric Spaces: Recent Advances and Applications

Fixed Point Theory in Metric Spaces: Recent Advances and Applications

Introduction to Tensor Products of Banach Spaces (Springer Monographs in Mathematics)

Direct Methods in the Theory of Elliptic Equations (Springer Monographs in Mathematics)

Large Deviations and Asymptotic Methods in Finance: 110 (Springer Proceedings in Mathematics & Statistics, 110)

Quasi-Invariant and Pseduo-Differentiable Measures in Banach Spaces

Springer Advances in the Theory of Frechet Spaces - Volume 287

Advances in the Theory of Fréchet Spaces: 287 (Nato Science Series C:, 287)

Elementary Geometry in Hyperbolic Space: 11 (De Gruyter Studies in Mathematics, 11)

Variational Techniques for Elliptic Partial Differential Equations: Theoretical Tools and Advanced Applications

Parabolicity, Volterra Calculus, and Conical Singularities

Higher-Order Time Asymptotics of Fast Diffusion in Euclidean Space: A Dynamical Systems Approach (Memoirs of the American Mathematical Society)

Isometries on Banach Spaces: function spaces (Monographs and Surveys in Pure and Applied Mathematics)

Functional Inequalities: New Perspectives and New Applications (Mathematical Surveys and Monographs)

Fractional Differentiation Inequalities

Geometry and Martingales in Banach Spaces

Geometry and Martingales in Banach Spaces