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直线与仿射集的关系及距离性分离定理
引用本文:潘文熙. 直线与仿射集的关系及距离性分离定理[J]. 暨南大学学报(自然科学与医学版), 1992, 13(3): 14-18
作者姓名:潘文熙
作者单位:暨南大学数学系
摘    要:

关 键 词:仿射集 直线 距离性 分离定理

THE RELATIONS BETWEEN LINES AND AFFINE SETS AND SEPARATION THEOREMS WITH DISTANCE PROPERTY
Pan Wenxi. THE RELATIONS BETWEEN LINES AND AFFINE SETS AND SEPARATION THEOREMS WITH DISTANCE PROPERTY[J]. Journal of Jinan University(Natural Science & Medicine Edition), 1992, 13(3): 14-18
Authors:Pan Wenxi
Affiliation:Dept.of Math.
Abstract:In normed linear spaces,the relations between lines and affine sets are discussed.In particular,we study the parallel case and the case neither parallel nor intersecting.It is also considered on their shortest distance and establish some separation theorems of Mazur type with distance property.
Keywords:affine set  parallel lines to an affine set  shortest distance of two sets  separation by hyperplane  
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