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Approximation of lipschitz functions by Δ-convex functions in banach spaces

✍ Scribed by Manuel Cepedello Boiso

Book ID
110679352
Publisher
The Hebrew University Magnes Press
Year
1998
Tongue
English
Weight
644 KB
Volume
106
Category
Article
ISSN
0021-2172

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Approximation of Convex Functions on the
Approximation of Convex Functions on the Dual of Banach Spaces
✍ Lixin Cheng; Yingbin Ruan; Yanmei Teng 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 134 KB

This paper shows that every w\*-lower semicontinuous Lipschitzian convex function on the dual of a locally uniformly convexifiable Banach space, in particular, the dual of a separable Banach space, can be uniformly approximated by a generically Fréchet differentiable w\*-lower semicontinuous monoton