期刊文献+

n-赋范空间的k-严格凸性 被引量:2

k-strictly Convexity in n-Banach Space
下载PDF
导出
摘要 在一般赋范空间的凸性研究中,k-严格凸空间是一类很重要的凸性空间.把一般赋范空间中k-严格凸的概念推广到n-赋范空间中,并得到n-赋范空间为k-严格凸的若干等价条件. k-strictly convex spaces are important convex spaces in the study of normed spaces of convex spaces.In this paper,we introduce the notion of k-strictly convexity in n-Banach spaces and obtain several characteristics descriptions of k-strictly convex n-Banach spaces.
出处 《内蒙古师范大学学报(自然科学汉文版)》 CAS 2011年第5期453-458,464,共7页 Journal of Inner Mongolia Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(11061022) 内蒙古师范大学研究生科研创新基金项目(CXJJS10033)
关键词 n-赋范空间 K-严格凸 K-端点 n-Banach space k-strictly convexity k-extreme point
  • 相关文献

参考文献6

二级参考文献20

  • 1吴从炘,黎永锦.Banach 空间的强凸性(英文)[J].数学杂志,1993,13(1):105-108. 被引量:14
  • 2何仁义.K-强凸与局部K一致光滑空间[J].数学杂志,1997,17(2):251-256. 被引量:30
  • 3Ge Xin-Yan.n-oormed spaces[J].Journal of Harbin Normal University:Natural Seience,1985(1):7-14.
  • 4Ge Xin-Yan.The strictly convex and smoothness of n-normed spaces[J].Journal of Harbin Normal University:Natural Science,1985 (3):5-6.
  • 5Jian Bo-Yu.The smoothness of n-Banach spaces and 2-normed spaces[J].Journal of Anhui Normal University:Natural Science,1987 (3):84-87.
  • 6Hahng-Yun,Keonhee Lee,Chun-Gil Par.On the Aleksandrov problem in linear n-homed spaces[J].Nonlinear Analysis,2004(59):1001-1002.
  • 7Zu Hua-Xue,Liu Chuan-Zeng.Fixed points of nonexpensive mappings in strictly convex spaces[J].Journal of Shanghai Normal University:Natural Science,2007,36 (3):30-32.
  • 8Suyalatu.The Strong and Weak Convergence of Sequence in 2-normed Space[J].Journal of Liaoning University:Natural Science,1992,19(1):27-34.
  • 9Qi Xiang-Cheng,Dian Yu-ghang.The Base of Real variable Function and Functional analysis[M].Bejing:High Education Publishing Company,2003.
  • 10Xin Tai-Yu.The Geomtric Theroy of Banach Spaces[M].Shanghai:Huadong Normal University Publishing Company,1986.

共引文献80

同被引文献14

引证文献2

二级引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部