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Approximation of Convex Functions on the Dual of Banach Spaces

✍ Scribed by Lixin Cheng; Yingbin Ruan; Yanmei Teng

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
134 KB
Volume
116
Category
Article
ISSN
0021-9045

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✦ Synopsis

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 monotone-nondecreasing Lipschitzian convex function sequence © 2002 Elsevier Science (USA)

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