Bicommutants of Toeplitz operators

被引：15

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

页码：256 / 264

页数：9

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