Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616699 | Journal of Mathematical Analysis and Applications | 2013 | 14 Pages |
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
Authors
Linda J. Patton,