弱可数紧性蕴涵拟弱滴状性质(英文)
Weak countable compactness implies quasi-weak drop property
摘要
局部凸空间中每个弱可数紧闭凸集具拟弱滴状性质.
Every weakly countably compact closed convex set in a locally convex space has the quasi-weak drop property.
出处
《苏州大学学报（自然科学版）》
CAS
2003年第4期111-114,共4页
Journal of Soochow University(Natural Science Edition)
参考文献27
-
1BANA S J. On drop and nearly uniformly smooth Banach spaces[J]. Nonlinear Anal, 1990,14:927 - 933.
-
2CHENG L,ZHOU Y,ZHANG F. Danes' drop theorem in locally convex spaces [J]. Proc Amer Math Soc,1996,124:3699 - 3702.
-
3DANE S L. A geometric theorem useful in nonlinear functional analysis [ J ]. Boll Un Mat Ital, 1972,6 : 369- 372.
-
4FLORET K. Weakly Compact Sets [ M]. Berlin, Heidelberg, New York: Springer - Verlag, 1980.
-
5GEORGIEV P, KUTZAROVA D, MAADEN A. On the smooth drop property [J ]. Nonlinear Anal, 1996,26:595 - 602.
-
6GILES J R, KUTZAROVA D N. Characterisation of drop and weak drop properties for closed bounded convex sets [ J ]. Bull Austral Math Soc, 1991,43:377 - 385.
-
7GILES J R,SIMS B,YORKE A C. On the drop and weak drop properties for a Banach space [J]. Bull Austral Math Soc, 1990,41.503 - 507.
-
8HORVATH J. Topological Vector Spaces and Distributions [M]. MA:Addison- Wesley, 1996.
-
9JAMES R C. Weakly compact sets [J]. Trans Amer Math Soc, 1964,113 : 129 - 140.
-
10KOTHE G. Topological Vector Spaces I [ M]. New York, Berlin, Heidelberg: Springer - Verlag, 1969.
-
1邓国泰,蔡宇泽.一类可数紧集的计盒维数[J].沙洲职业工学院学报,2002,5(2):1-4.
-
2戴保华.LF闭包空间的可数紧性[J].南昌大学学报（理科版）,2006,30(5):418-420. 被引量：3
-
3孟晗,于娜.弱L-余拓扑空间的可数紧性[J].纺织高校基础科学学报,2009,22(2):201-203. 被引量：2
-
4Jing Hui QIU.Strong Minkowski Separation and Co-Drop Property[J].Acta Mathematica Sinica,English Series,2007,23(12):2295-2302. 被引量：2
-
5王炜.关于Banach空间中的(σ(E_1) 紧性[J].辽宁师范大学学报（自然科学版）,1993,16(1):5-9.
-
6陶元红,李容录,魏春霞.可允许极拓扑K(X,X′),K(X,X′),u(X,X′)与Dierolf拓扑F(μ),F(μ~*)[J].黑龙江大学自然科学学报,2005,22(6):747-749.
-
7贺飞,李斌.弱可数紧集与Arrow-Barankin-Blackwell定理[J].内蒙古大学学报（自然科学版）,2006,37(6):601-604.
-
8李容录,崔成日,CHO Min-Hyung.最强Orlicz-Pettis拓扑[J].数学学报（中文版）,2000,43(1):9-16. 被引量：3
