关于随机解析算子函数的正族性质  

Normal Family Properties of Random Analytic Operator Functions

作　　者：蹇明[1] 

机构地区：[1]华中科技大学数学系,武汉430074

出　　处：《数学物理学报（A辑）》2002年第3期342-347,共6页Acta Mathematica Scientia

基　　金：国家自然科学基金 (60 0 740 0 9)资助项目

摘　　要：该文在经典函数的正族理论基础上建立了随机解析算子函数的正族、一致有界和等度连续等概念 ,并在此意义下 ,给出了随机解析算子函数族内闭一致有界与等度连续、正族与一致有界的关系 ,以及随机解析算子函数族为正族的一个充分必要条件 .Some conceptions of normal family, uniformly bounded and identity metric continuity of random analytic operator functions are defined on the normal family theoretical basis of classical function. Some relations between inner closed uniformly bounded and identity metric continuity, and between normal family and uniformly bounded are established. And a sufficient and necessary of a class of random analytic operator functions is proved.

关 键 词：随机算子 随机解析算子函数 正族 一致有界 等度连续 

分 类 号：O177.1[理学—数学]