加权复合算子的紧性  

The Compactness of Weighted Composition Operators

作　　者：李觉先[1] 吕方[1] 杨瑞梅[1] 

机构地区：[1]辽宁大学数学系,沈阳110036

出　　处：《吉林大学自然科学学报》1998年第1期14-18,共5页Acta Scientiarum Naturalium Universitatis Jilinensis

基　　金：辽宁大学青年科学基金

摘　　要：利用条件期望刻划加权复合算子的紧性，给出一类特殊加权复合算子的矩阵表示；说明这一类加权复合算子本质上就是加权移位算子．By means of conditional expectation, the compactness of weighted composition operators is described and the matrix expressions of a special class of weighted composition operators are given,from which it is known that this kind of weighted composition operators is a class of weighted shift operators in nature.

关 键 词：加权复合算子 紧算子 条件期望 

分 类 号：O177.1[理学—数学]