Joram Lindenstrauss

Joram Lindenstrauss:
Frechet differentiability of Lipschitz functions.


I plan to survey the present knowledge about the existence of points of Frechet differentiability (or epsilon almost Frechet differentiability )of Lipschitz functions between Banach spaces. Much emphasis will be put on recent developments.Since the proofs of most of the results are delicate and complicated I will be unable to reproduce them. I will ,however, explain in detail all the notions entering into these results as well as the results themselves. As far as possible I plan also to give the main ideas entering into the proofs. I will also mention several open problems in this direction.