Fréchet intermediate differentiability of Lipschitz functions on Asplund spaces

Title: Fréchet intermediate differentiability of Lipschitz functions on Asplund spaces
Creator: Giles, J. R.
Relation: Bulletin of the Australian Mathematical Society Vol. 79, Issue 2, p. 309-317
Publisher Link: http://dx.doi.org/10.1017/s0004972708001305
Publisher: Cambridge University Press
Resource Type: journal article
Date: 2009
Description: The deep Preiss theorem states that a Lipschitz function on a nonempty open subset of an Asplund space is densely Fréchet differentiable. However, the simpler Fabian-Preiss lemma implies that it is Fréchet intermediately differentiable on a dense subset and that for a large class of Lipschitz functions this dense subset is residual. Results are presented for Asplund generated spaces.
Subject: Lipschitz functions; Fréchet differentiability; Asplund; Asplund generated spaces
Identifier: uon:6988
Identifier: http://hdl.handle.net/1959.13/925116
Identifier: ISSN:0004-9727
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