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math.FA2004★ 1 cited
On Fréchet differentiability of Lipschitz maps between Banach spaces
Joram Lindenstrauss, David Preiss
A well-known open question is whether every countable collection of Lipschitz functions on a Banach space X with separable dual has a common point of Frechet differentiability. We…
math.FA1997
Nonlinear quotients
Sean M. Bates, William B. Johnson, Joram Lindenstrauss +2
New concepts related to approximating a Lipschitz function between Banach spaces by affine functions are introduced. Results which clarify when such approximations are possible are…