Ball Separation Properties in Banach Spaces and Extremal Properties of Unit Ball in Dual Space

Bor-Luh Lin

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Ball Separation Properties in Banach Spaces and Extremal Properties of Unit Ball in Dual Space

机译：Banach空间中的球分离特性和对偶空间中单位球的极值特性

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摘要

Various ball separation properties in Banach spaces and their relationships with the extermal structures of the unit ball of dual space are presented. The relationships of these properties with the ball convexity, ball topology in Banach spaces and Banach spaces with the Radon-Nikodyn property are discussed.

机译：提出了Banach空间中的各种球分离特性及其与对偶空间单位球的外在结构的关系。讨论了这些性质与球凸度，Banach空间中的球拓扑以及具有Radon-Nikodyn性质的Banach空间之间的关系。

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《Taiwanese journal of mathematics》 |1997年第4期|共12页
作者
Bor-Luh Lin;
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正文语种 eng
中图分类数学;
关键词
ball separation properties; weak*-denting points; weak* points of continuity; weak* weak points of continuity; weak*-strongly extreme points; extreme points;

机译：球分离特性;弱*凹陷点;弱*连续点;弱*连续点;弱*-极端点;极端点;

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专利

1. Ball Separation Properties in Banach Spaces and Extremal Properties of Unit Ball in Dual Space [J] . Bor-Luh Lin Taiwanese journal of mathematics . 1997,第4期

机译：Banach空间中的球分离特性和对偶空间中单位球的极值特性
2. Extreme Points of the Unit Ball in the Dual Space of Some Real Subspaces of Banach Spaces of Lipschitz Functions [J] . DavoodAlimohammadi, HadisPazandeh International Scholarly Research Notices . 2012,第59期

机译：Lipschitz函数的Banach空间的某些实子空间对偶空间中单位球的极点
3. THE BALL-COVERING PROPERTY ON DUAL SPACES AND BANACH SEQUENCE SPACES [J] . Shaoqiang SHANG 数学物理学报（英文版） . 2021,第002期

机译：双层空间和Banach序列空间上的滚珠属性
4. On boundaries for spaces of holomorphic functions on the unit ball of a Banach space [C] . Maria D. Acosta, Luiza A. Moraes Banach Spaces and Their Applications in Analysis . 2007

机译：Banach空间单位球空间空间边界
5. Invariant subspace problem and spectral properties of bounded linear operators on Banach spaces, Banach lattices, and topological vector spaces [D] . Troitsky, Vladimir G. 1999

机译：Banach空间，Banach格和拓扑矢量空间上有界线性算子的不变子空间问题和谱性质
6. Synthesis and Characterization of Novel Dendrons Bearing Amino-Nitro-Substituted Azobenzene Units and Oligo(ethylene glycol) Spacers: Thermal Optical Properties Langmuir Blodgett Films and Liquid-Crystalline Behaviour [O] . Jesús Ortíz-Palacios, Efraín Rodríguez-Alba, Mayra Avelar, 2013

机译：带有氨基-硝基取代的偶氮苯单元和低聚乙二醇间隔基的新型树枝的合成与表征：热光学性质Langmuir Blodgett膜和液晶行为
7. Intersection properties of balls in complex Banach spaces whose duals are L1 spaces [O] . Otte Hustad 1974

机译：复杂Banach空间中球的交叉点属性，其双重为L1空间
8. Measure Determining Classes of Balls in Banach Space [R] . Dinger, U. 1984

机译：Banach空间中球的确定类

Ball Separation Properties in Banach Spaces and Extremal Properties of Unit Ball in Dual Space

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