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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
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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