曹温淳.Banach空间上范数的各种k光滑性[J].数学研究及应用,1995,15(2):244~248
Banach空间上范数的各种k光滑性
Various k-Smoothnesses of Norms on Banach Spaces
投稿时间:1992-06-27  修订日期:1993-04-04
DOI:10.3770/j.issn:1000-341X.1995.02.016
中文关键词:  k很光滑  k光滑  弱Hahn-Banach光滑  RNP
英文关键词:k-smoothness  very k-smoothness  Hahn-Banach smoothness.
基金项目:
作者单位
曹温淳 长沙水利电力师范学院 
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中文摘要:
      本文中,作者提出了k很光滑的概念,并研究了它和k光滑,弱Hahn-Banach光滑以及RNP之间的关系;还讨论了k光滑性和k强光滑性(kSS)的一些等价条件。
英文摘要:
      We define a concept of very k-smoothness(kVS) for every natural number k, andgives the necessary and sufficient conditions for very k-smoothness to be k-smoothnessand weak Hahn-Banach smoothness (w (H-B)S).The results extend a conclusion of [3].Moreover, we give several equivalent conditions for k-smoothness, strong k-smoothness,uniform k-convexity, weak uniform k-convexity and weak uniform k-convexity.
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