The commutants of certain analytic Toeplitz operators

Thomson, James E.

doi:10.1090/S0002-9939-1976-0388156-7

The commutants of certain analytic Toeplitz operators

Author: James E. Thomson
Journal: Proc. Amer. Math. Soc. 54 (1976), 165-169
DOI: https://doi.org/10.1090/S0002-9939-1976-0388156-7
MathSciNet review: 0388156
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Abstract | References | Additional Information

Abstract: In this paper we characterize the commutants of two classes of analytic Toeplitz operators. We show that if 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.

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0388156-7
Keywords: Analytic function, inner function, ${H^\infty }$ , ${H^2}$ , analytic Toeplitz operator, commutant
Article copyright: © Copyright 1976 American Mathematical Society