Bicommutants of Toeplitz operators

被引：14
|
作者：
Louhichi, I. [1 ]
Rao, N. V. [1 ]
机构：
[1] Univ Toledo, Dept Math, Coll Arts & Sci, Toledo, OH 43606 USA
来源：
ARCHIV DER MATHEMATIK | 2008年 / 91卷 / 03期
关键词：
Toeplitz operators; Bergman space; bicommutant;
D O I：
10.1007/s00013-008-2790-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we discuss an unusual phenomenon in the context of Toeplitz operators in the Bergman space on the unit disc: If two Toeplitz operators commute with a quasihomogeneous Toeplitz operator, then they commute with each other. In the Bourbaki terminology, this result can be stated as follows: The commutant of a quasihomogeneous Toeplitz operator is equal to its bicommutant.
引用
收藏
页码：256 / 264
页数：9
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