Article ID Journal Published Year Pages File Type
4616699 Journal of Mathematical Analysis and Applications 2013 14 Pages PDF
Abstract

The composition operators on H2(D)H2(D) with minimal polynomial zn−1zn−1 are shown to be block Toeplitz with Toeplitz symbol equal to an n×nn×n matrix-valued polynomial of degree 1. This result is used to prove that the numerical range of a composition operator on H2(D)H2(D) with minimal polynomial z3−1z3−1 cannot be a circular disk.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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