FRECHET DIFFERENTIABILITY OF LIPSCHITZ FUNCTIONS AND POROUS SETS IN BANACH SPACES (AM-179) by Joram Lindenstrauss, David Preiss, Jaroslav Tiser ( 9780691153551 )

Item Details

Title:

FRECHET DIFFERENTIABILITY OF LIPSCHITZ FUNCTIONS AND POROUS SETS IN BANACH SPACES (AM-179)

By:

Joram Lindenstrauss, David Preiss, Jaroslav Tiser

Format:

Hardback

List price:

£135.00

Our price:

£108.00

Discount:

20% off

You save:

£27.00

ISBN 10:

0691153558

ISBN 13:

9780691153551

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Publisher:

PRINCETON UNIVERSITY PRESS

Pub. date:

6 February, 2012

Series:

Annals of Mathematics Studies

Pages:

440

Description:

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.

Synopsis:

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.

Publication:

Imprint:

Princeton University Press

Returns:

Returnable

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FRECHET DIFFERENTIABILITY OF LIPSCHITZ FUNCTIONS AND POROUS SETS IN BANACH SPACES (AM-179)

FRECHET DIFFERENTIABILITY OF LIPSCHITZ FUNCTIONS AND POROUS SETS IN BANACH SPACES (AM-179) (PB)