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Zbl 1208.46043
Ioffe, A.
Typical convexity (concavity) of Dini-Hadamard upper (lower) directional derivatives of functions on separable Banach spaces.
(English)
[J] J. Convex Anal. 17, No. 3-4, 1019-1032 (2010). ISSN 0944-6532

The author extends and amplifies a few results on the typical properties of Dini--Hadamard-type directional derivatives. The modifications deal with expanding the class of functions under consideration and specifying the qualification of typicality.
[S. S. Kutateladze (Novosibirsk)]
MSC 2000:
*46G05 Derivatives, etc. (functional analysis)
49J50 Frechet and Gateaux differentiability

Keywords: directional derivative; porosity; subdifferential

Cited in: Zbl 1249.49021

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Highlights
Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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