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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The commutants of certain analytic Toeplitz operators
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by James E. Thomson PDF
Proc. Amer. Math. Soc. 54 (1976), 165-169 Request permission

Abstract:

In this paper we characterize the commutants of two classes of analytic Toeplitz operators. We show that if $F$ in ${H^\infty }$ is univalent and nonvanishing, the $\{ {T_{{F^2}}}\} ’ = \{ {T_z}\} ’$. When $\varphi$ is the product of two Blaschke factors, we characterize $\{ {T_\varphi }\} ’$ in terms of algebraic combinations of Toeplitz and composition operators.
References
Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 54 (1976), 165-169
  • DOI: https://doi.org/10.1090/S0002-9939-1976-0388156-7
  • MathSciNet review: 0388156