关于随机一致凸性(英文)  

On Random Uniform Convexity

作　　者：曾小林[1] 

机构地区：[1]重庆工商大学数学与统计学院,重庆400067

出　　处：《应用泛函分析学报》2012年第1期23-31,共9页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(10871016)

摘　　要：致力于随机一致凸性概念的进一步探讨.首先,通过一个特殊的层次剖分指出对任意的随机赋范模而言随机凸性模都有良好定义,从而改进了近期的文献中许多已知的结果.然后,提出并研究了一种与随机一致凸性密切相关的新性质,从一个新的角度阐述了随机一致凸性的复杂性.The paper is devoted to a further discussion about the notion of random uniform convexity. First, we point out that modulus of random convexity is well defined for an arbitrary random normed module via a special stratification partition. Consequently, many known results in recent literature are improved. Then a new property closely related to random uniform convexity is proposed and studied, which elucidates the complication of random uniform convexity from a new angle.

关 键 词：随机赋范模 随机一致凸性 随机凸性模 

分 类 号：O177.92[理学—数学] O211.9[理学—基础数学]