Some block Toeplitz composition operators

被引：2
|
作者：
Patton, Linda J. [1 ]
机构：
[1] Cal Poly, Dept Math, San Luis Obispo, CA 93407 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 400卷 / 02期
关键词：
Composition operator; Toeplitz operator; Numerical range; NUMERICAL RANGES;
D O I：
10.1016/j.jmaa.2012.11.057
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The composition operators on H-2(D) with minimal polynomial z(n) - 1 are shown to be block Toeplitz with Toeplitz symbol equal to an n x n matrix-valued polynomial of degree 1. This result is used to prove that the numerical range of a composition operator on H-2(D) with minimal polynomial z(3) - 1 cannot be a circular disk. (C) 2012 Elsevier Inc. All rights reserved.
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页码：363 / 376
页数：14
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