Some block Toeplitz composition operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:400

Article

Patton, Linda J.

关键词: Composition operator;    Toeplitz operator;    Numerical range;   

DOI  :  10.1016/j.jmaa.2012.11.057

来源: Elsevier

【 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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