线性距离空间的一致凸性与自反性  

The Uniform Convexity and Reflexivity in Metric Linear Spaces

作　　者：武俊德[1] 杨德海[1] 曲文波 

机构地区：[1]大庆石油学院,安达151400 [2]大庆高专,大庆163712

出　　处：《应用数学》1995年第3期322-324,共3页Mathematica Applicata

摘　　要：本文研究了线性距离空间的一致凸性与自反性,同时对吴从炘等提出的严格缩条件能否去掉的问题给出了肯定的答案。In order to study approximation problems. Sastry and others in [1] introduced uniform convexity I (U. C. I), I (U. C. I ) and I (U. C. I ) in metric linear spaces. Wu congxin and others in [2] proved,under the strict contraction property condition,that the metric linear spaces with U. C. I . are reflexive and they asked whether the condition can be removed. This note give a sure answer and proved metric linear spaces with U. C. I are reflexive. So main theorem in [2] is only a special case of ours.

关 键 词：自反性 一致凸性 线性度量空间 

分 类 号：O177.3[理学—数学]