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Steiner选择和算子的集值扩张(Ⅰ)——理论结果

 引用本文: 皮佐尔·特尔文, 米古尔·拉皮兹·迪亚兹. Steiner选择和算子的集值扩张(Ⅰ)——理论结果[J]. 应用数学和力学, 2002, 23(5): 507-517.
TERAN PEDRO, L PEZ-D1AZ MIGUEL. Set-Valued Extension of Operators via Steiner Selections(Ⅰ)-Theoretical Results[J]. Applied Mathematics and Mechanics, 2002, 23(5): 507-517.
 Citation: TERAN PEDRO, L PEZ-D1AZ MIGUEL. Set-Valued Extension of Operators via Steiner Selections(Ⅰ)-Theoretical Results[J]. Applied Mathematics and Mechanics, 2002, 23(5): 507-517.

## Steiner选择和算子的集值扩张(Ⅰ)——理论结果

• 中图分类号: O177.91

## Set-Valued Extension of Operators via Steiner Selections(Ⅰ)-Theoretical Results

• 摘要: 提出了一种从连续函数空间到连续集值函数空间中扩张算子的方法.这种扩张是通过Steiner集值函数选择法得到的.此外,还研究了其性质及该类算子序列的收敛特性.在文章的第(Ⅱ)部分,还将给出在逼近理论中的一些应用.
•  [1] Dentcheva D.Differentiable selections and Castaing representations of multifunctions[J].J Math Anal Appl,1998,223:371-396. [2] Debreu G.Integration of correspondences.In:Proc Fifth Berkeley Symp Math Statist Prob[C].Berkeley:Univ of California Press,1967,351-372. [3] Aubin J P,Frankowska H.Set-valued analysis[A].Systems & Control:Foundations & Applications[C].Boston:Birkhuser Boston,Inc,1990. [4] Aumann R J.Integrals of set-valued functions[J].J Math Anal Appl,1965,12:1-12. [5] Hiai F,Umegaki H.Integrals conditional expectations,and martingales of multivalued functions[J].J Multivar Anal,1977,7:149-182. [6] Valentine F A.Convex Sets[C].Robert Ed.New York:Krieger Publishing Company,Inc,1976. [7] Vitale R A.The steiner point in infinite dimensions[J].Istael J Math,1985,52:245-250.
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##### 出版历程
• 收稿日期:  2001-05-20
• 修回日期:  2001-11-28
• 刊出日期:  2002-05-15

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