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On Quasisimilarity for Analytic Toeplitz Operators

Published online by Cambridge University Press:  20 November 2018

Katsutoshi Takahashi
Katsutoshi Takahashi*
Affiliation:
Department of Mathematics, Sapporo Medical CollegeMinami-1 Nishi-17, Sapporo, Japan
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Abstract

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Let f be a function in H∞. We show that if f is inner or if the commutant of the analytic Toeplitz operator Tf is equal to that of Tb for some finite Blaschke product b, then any analytic Toeplitz operator quasisimilar to Tf is unitarily equivalent to Tf.

Keywords

quasisimilarityanalytic Toeplitz operatorcommutant47B2047B35
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 31 , Issue 1 , 01 March 1988 , pp. 111 - 116
Copyright
Copyright © Canadian Mathematical Society 1988

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