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TY - CHAP
TI - Differentiability of Lipschitz maps on Hilbert spaces
AU - Lindenstrauss, Joram
AU - Preiss, David
AU - Tišer, Jaroslav
AB - For the benefit of those readers whose main interest is in Hilbert spaces, we give here a separate proof of existence of points of Fréchet differentiability of$\mathbb{R}^2 $-valued Lipschitz maps on such spaces. Although the arguments are based on ideas from the previous chapters, only two technical lemmas whose proof may be easily read independently from the previous chapters are actually used. We also use this occasion to explain several ideas for treating the differentiability problem that may not have been apparent in the generality in which we have worked so far. We give here an essentially self-contained proof
EP - 414
PB - Princeton University Press
PY - 2012
SN - 9780691153551
SP - 392
T2 - Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179)
UR - http://www.jstor.org/stable/j.ctt7svpc.18
Y2 - 2021/09/18/
ER -