More titles to consider

Shopping Cart

You're getting the VIP treatment!

With the purchase of Kobo VIP Membership, you're getting 10% off and 2x Kobo Super Points on eligible items.

Item(s) unavailable for purchase
Please review your cart. You can remove the unavailable item(s) now or we'll automatically remove it at Checkout.


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.

Ratings and Reviews

Overall rating

No ratings yet
5 Stars 4 Stars 3 Stars 2 Stars 1 Stars
0 0 0 0 0

Be the first to rate and review this book!

You've already shared your review for this item. Thanks!

We are currently reviewing your submission. Thanks!


You can read this item using any of the following Kobo apps and devices:

  • IOS