Joram Lindenstrauss

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We give several sufficient conditions on a pair of Banach spaces X and Y under which each Lipschitz mapping from a domain in X to Y has, for every ǫ > 0, a point of ǫ-Fréchet differentiability. Most of these conditions are stated in terms of the moduli of asymptotic smoothness and convexity, notions which appeared in the literature under a variety of names.(More)
We give two examples that in innnite dimensional Ba-nach spaces the measure-null sets are not preserved by Lipschitz homeomorphisms. There exists a closed set D ` 2 which contains a translate of any compact set in the unit ball of`2 and a Lips-chitz isomorphism F of`2 ontò 2 so that F(D) is contained in a hyperplane. Let X be a Banach space with an(More)
Corrigendum Corrigendum to " Best approximation in polyhedral Banach spaces " [J. Abstract The present note is a corrigendum to the paper " Best approximation in polyhedral Banach spaces " , J. Professor G. Godefroy kindly pointed out to us that the implication " if P Y is H-u.s.c. on its effective domain then Y is relatively strongly proximinal " in [1,(More)
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