Approximation of convex functions on the dual of Banach spaces | |
Cheng, L. X. ; Ruan, Y. B. ; Teng, Y. M. ; Cheng LX(程立新) | |
刊名 | http://dx.doi.org/10.1006/jath.2001.3664
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2002-05 | |
关键词 | GENERIC FRECHET-DIFFERENTIABILITY SMOOTH VARIATIONAL PRINCIPLE ASPLUND SPACES |
英文摘要 | 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 Frechet differentiable w*-lower semicontinuous monotone-nondecreasing Lipschitzian convex function sequence (C) 2002 Elsevier Science (USA). |
语种 | 英语 |
内容类型 | 期刊论文 |
源URL | [http://dspace.xmu.edu.cn/handle/2288/66526] ![]() |
专题 | 数学科学-已发表论文 |
推荐引用方式 GB/T 7714 | Cheng, L. X.,Ruan, Y. B.,Teng, Y. M.,et al. Approximation of convex functions on the dual of Banach spaces[J]. http://dx.doi.org/10.1006/jath.2001.3664,2002. |
APA | Cheng, L. X.,Ruan, Y. B.,Teng, Y. M.,&程立新.(2002).Approximation of convex functions on the dual of Banach spaces.http://dx.doi.org/10.1006/jath.2001.3664. |
MLA | Cheng, L. X.,et al."Approximation of convex functions on the dual of Banach spaces".http://dx.doi.org/10.1006/jath.2001.3664 (2002). |
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