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- W4248331468 abstract "This chapter treats results on ε-Fréchet differentiability of Lipschitz functions in asymptotically smooth spaces. These results are highly exceptional in the sense that they prove almost Frechet differentiability in some situations when we know that the closed convex hull of all (even almost) Fréchet derivatives may be strictly smaller than the closed convex hull of the Gâteaux derivatives. The chapter first presents a simple proof of an almost differentiability result for Lipschitz functions in asymptotically uniformly smooth spaces before discussing the notion of asymptotic uniform smoothness. It then proves that in an asymptotically smooth Banach space <italic>X</italic>, any finite set of real-valued Lipschitz functions on <italic>X</italic> has, for every ε > 0, a common point of ε-Fréchet differentiability." @default.
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- W4248331468 date "2012-02-26" @default.
- W4248331468 modified "2023-10-14" @default.
- W4248331468 title "Ε-Fr ´Echet Differentiability" @default.
- W4248331468 doi "https://doi.org/10.23943/princeton/9780691153551.003.0004" @default.
- W4248331468 hasPublicationYear "2012" @default.
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