文献类型：期刊文献

英文题名：Multiplication Operators Defined by a Class of Polynomials on La2 (D2)

作者：Dan, Hui[1];Huang, Hansong[1]

机构：[1]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2014

卷号：80

期号：4

起止页码：581

外文期刊名：INTEGRAL EQUATIONS AND OPERATOR THEORY

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000345331600006)】；

基金：This work was partially supported by NSFC(11001078) and CSC(201406745016).

语种：英文

外文关键词：Von Neumann algebra; reducing subspaces; multiplication operators

摘要：In this paper, we consider those multiplication operators M-p on L-a(2)(D-2) defined by a class of polynomials p. Also, this paper consider the reducing subspaces of M-p, the von Neumann algebra W*(p) generated by M-p, and its commutant V*(p) = W*(p)'. The structure of V*(p) is completely determined, along with those reducing subspaces of M-p.