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TY - CHAP
TI - Asymptotic Fréchet differentiability
AU - Lindenstrauss, Joram
AU - Preiss, David
AU - Tišer, Jaroslav
AB - This chapter should be considered slightly experimental. We return to nonvariational arguments for proving differentiability, and try to construct the sequence converging to a point of differentiability by a less straightforward algorithm. The reason for this is the hope that a different algorithm can avoid the pitfalls indicated in Chapter 14 and prove, at least, that Lipschitz mappings of Hilbert spaces to finite dimensional spaces have points of Fréchet differentiability. From this point of view the results of this chapter are negative, although we provide a new proof of Corollary 13.1.2 on Fréchet differentiability of Lipschitz maps of Hilbert spaces
EP - 391
PB - Princeton University Press
PY - 2012
SN - 9780691153551
SP - 355
T2 - Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179)
UR - http://www.jstor.org/stable/j.ctt7svpc.17
Y2 - 2021/09/20/
ER -