A note on non-support points, negligible sets, Gateaux differentiability and Lipschitz embeddings | |
Cheng, L. X. ; Zhang, W. ; Cheng LX(程立新) | |
刊名 | http://dx.doi.org/10.1016/j.jmaa.2007.12.046
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2009-02-15 | |
关键词 | GAUSSIAN NULL SETS CONVEX-FUNCTIONS BANACH-SPACES MAPPINGS |
英文摘要 | This paper first presents a characterization of three classes of negligible closed convex sets (i.e., Gauss null sets, Aronszajn null sets and cube null sets) in terms of non-support points; then gives a generalization of Gateaux differentiability theorems of Lipschitz mapping from open sets to those closed convex sets admitting non-support points; and as their application, finally shows that a closed convex set in a separable Banach space X can be Lipschitz embedded into a Banach space Y with the Radon-Nikodym property if and only if the closure of its linear span is linearly isomorphic to a closed subspace of Y. (C) 2007 Elsevier Inc. All lights reserved. |
语种 | 英语 |
内容类型 | 期刊论文 |
源URL | [http://dspace.xmu.edu.cn/handle/2288/66536] ![]() |
专题 | 数学科学-已发表论文 |
推荐引用方式 GB/T 7714 | Cheng, L. X.,Zhang, W.,Cheng LX. A note on non-support points, negligible sets, Gateaux differentiability and Lipschitz embeddings[J]. http://dx.doi.org/10.1016/j.jmaa.2007.12.046,2009. |
APA | Cheng, L. X.,Zhang, W.,&程立新.(2009).A note on non-support points, negligible sets, Gateaux differentiability and Lipschitz embeddings.http://dx.doi.org/10.1016/j.jmaa.2007.12.046. |
MLA | Cheng, L. X.,et al."A note on non-support points, negligible sets, Gateaux differentiability and Lipschitz embeddings".http://dx.doi.org/10.1016/j.jmaa.2007.12.046 (2009). |
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