分类筛选
分类筛选:

关于凸集论文范文资料 与Banach空间中有界闭凸集有唯一完备化集条件有关论文参考文献

版权:原创标记原创 主题:凸集范文 科目:论文范文 2024-02-16

《Banach空间中有界闭凸集有唯一完备化集条件》:本论文主要论述了凸集论文范文相关的参考文献,对您的论文写作有参考作用。

摘 要:為了研究实Banach空间中有界闭凸集有唯一完备化集的条件, 总结了这一方面的已知结果. 在此基础上, 给出了Banach空间中有界闭凸集有唯一完备化集的几个充要条件和一个充分条件. 拓展了(K,u)-完备集的定义, 并讨论在实Banach空间中此概念和唯一完备化集的关系.

关键词:(K,u)-完备集; 完备化集; 有界闭凸集

DOI:10.15938/j.jhust.2017.03.022

中图分类号: O189.11

文献标志码: A

文章编号: 1007-2683(2017)03-0121-06

Abstract:In order to study the conditions for bounded closed and convex sets to have a unique completion in real Banach spaces, known results in this direction are summarized. Based on this, a sufficient condition as well as some necessary and sufficient conditions for bounded closed and convex sets to have a unique completion are provided. The notion of (K, u)completeness is extended, and the relation of this notion to the uniqueness of completion in real Banach spaces is discussed.

Keywords:(K, u)completeness; completion of sets; bounded closed and convex sets

参 考 文 献:

[1] BLANCE. Les Ensembles Surconvexes Plans[J]. Annales Scientifiques de l′cole Normale Supérieure, 1943, 60: 215-246.

[2] MORENO J P, SCHNEIDER R. Diametrically Complete Sets in Minkowski Spaces[J]. Israel Journal of Mathematics, 2012, 191(2): 701-720.

[3] MALUTA E. Uniformly Normal Structure and Related Coefficients[J]. Pacific Journal of Mathematics, 1984, 111(2): 357-369.

[4] PAPINI P L. Completion and Balls in Banach Spaces[J]. Annals of Functional Analysis, 2015, 6(1): 24-33.

[5] MORENO J P, PAPINI P L, PHELPS R R. Diametrically Maximal and Constant Width Sets in Banach Space[J]. Canadian Journal of Mathematics, 2006, 58(4): 820-842.

[6] MORENO J P, SCHNEIDER R. Local Lipschitz Continuity of the Diametric Completion Mapping[J]. Houston J. Math, 2012, 38(4): 1207-1223.

[7] PAPINI P L, WU SENLIN. Construction of Complete Sets[J]. Adv. Geom., 2015,15(4):485-498.

[8] BLANCE. Sur Une Généralisation des Domaines D’épaisseur constante[J]. CR Acad. Sci. Paris, 1944, 219: 662-663.

[9] B AUDF. Adjoint Transform, Overconvexity and Sets of Constant Width[J]. Transactions of the American Mathematical Society, 1992, 333(1): 315-324.

[10]MAEHARAH. Convex Bodies Forming Pairs of Constant Width[J]. Journal of Geometry, 1984, 22(2): 101-107.

[11]PAPINIP L. Complete Sets and Surroundings[J]. Proc. Int. Symposium on Banach and Function Spaces IV, Kitakyushu, 2012: 149-163.

[12]HE CHAN, WU SENLIN, ZHANG XINLING. Wide Spherical Hull and Tight Spherical Hull of Bounded Sets in Banach Spaces[J]. Annals of Functional Analysis, accepted.

凸集论文参考资料:

小学数学论文范文30集

结论:Banach空间中有界闭凸集有唯一完备化集条件为关于对不知道怎么写凸集论文范文课题研究的大学硕士、相关本科毕业论文什么叫凸集论文开题报告范文和文献综述及职称论文的作为参考文献资料下载。

和你相关的