Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces

by David Preiss, Joram Lindenstrauss, Jaroslav Tiser, et al.

Book Overview

This book makes a significant inroad into the unexpectedly difficult question of existence of Fr 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...

• Format: Paperback
• Language: English
• ISBN: 0691153566
• ISBN13: 9780691153568
• Release Date: February 2012
• Publisher: Princeton University Press
• Length: 464 Pages
• Weight: 1.35 lbs.
• Dimensions: 1.0" x 6.1" x 9.1"