文献类型：期刊文献

中文题名：Reducing subspaces of multiplication operators on function spaces

英文题名：Reducing subspaces of multiplication operators on function spaces

作者：Guo Kun-yu[1];Huang Han-song[2]

机构：[1]Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China;[2]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2013

卷号：28

期号：4

起止页码：395

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

外文期刊名：APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B

收录：;Scopus;WOS:【SCI-EXPANDED(收录号:WOS:000328347600002)】；CSCD:【CSCD2013_2014】；

基金：The authors are partially supported by NSFC, and the second author is supported by Chenguang Project in Shanghai.

语种：英文

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

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.