This book makes a significant inroad into the unexpectedly difficult question of existence of Frchet 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 descr[...]
Makes an inroad into the unexpectedly difficult question of existence of Frchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. This book opens several research directions in this area of geometric nonlinear functional analysis.[...]