文献类型：期刊文献

中文题名：Reducing subspaces of multiplication operators on function spaces Dedicated to the Memory of Chen Kien-Kwong on the 120th Anniversary of his Birth

英文题名：Reducing subspaces of multiplication operators on function spaces Dedicated to the Memory of Chen Kien-Kwong on the 120th Anniversary of his Birth

作者：GUO Kun-yu[1];HUANG Han-song[2]

机构：[1]School of Mathematical Sciences, Fudan University;[2]Department of Mathematics, East China University of Science and Technology

年份：2013

期号：4

起止页码：395

中文期刊名：Applied Mathematics:A Journal of Chinese Universities(Series B)

外文期刊名：高校应用数学学报B辑(英文版)

收录：Scopus;CSCD:【CSCD2013_2014】；

语种：英文

中文关键词：乘法算子;子空间;运算符;函数空间;Bergman空间;记忆;诺伊曼代数;哈代空间

外文关键词：reducing subspace;commutant;von Neumann algebra;Blaschke product;holomorphic covering map

摘要：This survey presents the brief history and recent development on commutants and reducing subspaces of multiplication operators on both the Hardy space and the Bergman space,and von Neumann algebras generated by multiplication operators on the Bergman space.
This survey presents the brief history and recent development on commutants and reducing subspaces of multiplication operators on both the Hardy space and the Bergman space, and von Neumann algebras generated by multiplication operators on the Bergman space.