文献类型：期刊文献

英文题名：MULTIPLICATION OPERATORS ON BERGMAN SPACES OVER POLYDISKS ASSOCIATED WITH INTEGER MATRIX

作者：Dan, Hui[1];Huang, Hansong[2]

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

年份：2018

卷号：55

期号：1

起止页码：41

外文期刊名：BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000428737400004)】；

基金：This work is partially supported by NSFC(11471113, 11571064), CSC(201406745016), and by Shanghai Center for Mathematical Sciences.

语种：英文

外文关键词：von Neumann algebra; joint reducing subspace; unimodular matrix

摘要：This paper mainly considers a tuple of multiplication operators on Bergman spaces over polydisks which essentially arise from a matrix, their joint reducing subspaces and associated von Neumann algebras. It is shown that there is an interesting link of the non-triviality for such von Neumann algebras with the determinant of the matrix. A complete characterization of their abelian property is given under a more general setting.