Analytic Toeplitz operators with automorphic symbol. II

Abrahamse, M. B.; Ball, Joseph A.

doi:10.1090/S0002-9939-1976-0454714-4

Analytic Toeplitz operators with automorphic symbol. II

Authors: M. B. Abrahamse and Joseph A. Ball
Journal: Proc. Amer. Math. Soc. 59 (1976), 323-328
MSC: Primary 47B35; Secondary 30A58
DOI: https://doi.org/10.1090/S0002-9939-1976-0454714-4
MathSciNet review: 0454714
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Abstract: For $\phi$ in ${H^\infty }$, let ${T_\phi }$ be the analytic Toeplitz operator with symbol $\phi$ and let $\{ {T_\phi }\} ’$ be the commutant of ${T_\phi }$. Two infinite Blaschke products $\phi$ and $\psi$, are exhibited such that $\{ {T_\phi }\} ’ \cap \{ {T_\psi }\} ’$ is not equal to $\{ {T_\theta }\} ’$ for any inner function $\theta$. Also, two questions on reducing subspaces of analytic Toeplitz operators are answered.

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