The extension theorems of cone linear operators

被引：0
作者：
Sheng Bao-huai
Liu San-yang
Mao Hua
机构：
[1] Xidian University,Department of Applied Mathematics
来源：
Applied Mathematics and Mechanics | 2002年 / 23卷 / 1期
关键词：
cone separation theorem; cone linear operator; extension theorem; separation theorems; O177.2;
D O I：
10.1007/BF02437732
中图分类号：
学科分类号：
摘要：
A kind of cone separation theorems is established, by which the extension theorems for cone linear continuous operators are developed. As an application, the extension theorem for positive linear continuous operators is given.
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页码：71 / 78
页数：7
相关论文
共 13 条
  • [1] Shu-zhong Shi(1985)A separation theorem of convex sets for a complete vector lattice and its application [J] Chinese Annals of Mathematics 6A 431-438
  • [2] Shu-sheng Wang(1986)A separation theorem of convex cone on ordered vector space and its application [J] Acta Math Appli Sinica 9 310-318
  • [3] Guang-ya Chen(1985)Generalized Hahn-Banach theorems and subdifferential of setvalued mapping[J] J Sys Sci and Math Sci 5 223-230
  • [4] Yu-yun Wang(1998)Hahn-Banach theorem of set-valued map[J] Applied Mathematics and Mechanics 19 55-66
  • [5] Zhi-qing Meng(1998)Subgradient of S-convex set-valued mappings and weak efficient solutions[J] Appl Math JCU 13 463-472
  • [6] Shen-je Li(1992)A Hahn-Banach theorem in ordered linear spaces and its applications [J] Optimization 25 1-9
  • [7] Yang X Q(1992)Axiomatic approach to duality in optimization[J] Number Funct Anal and Optimiz 13 305-326
  • [8] Luc D T(1994)On the notation of proper efficiency in vector optimization [J] J of Optim Theory and Appl 82 1-21
  • [9] Jahn J(1998)Benson Proper efficiency in the vector optimization of set-valued maps[J] Acta Mathematicae Applicate Sinica 21 123-134
  • [10] Guerraggio A(undefined)undefined undefined undefined undefined-undefined
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