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On Quasisimilarity for Toeplitz Operators

Published online by Cambridge University Press:  20 November 2018

K. Seddighi
K. Seddighi*
Affiliation:
Department of mathematics and statistics, Shiraz UniversityShiraz, Iran
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Abstract

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In this article we give a sufficient condition for quasisimilar analytic Toeplitz operators to be unitarily equivalent. We also use a result of Deddens and Wong to give a sufficient condition for an operator intertwining two analytic Toeplitz operators to intertwine their inner parts too. Analytic Toeplitz operators with univalent symbols satisfying a suitable normalization that are quasisimilar are shown to have equal symbols.

Keywords

47B2047B35Toeplitz operatorquasisimilarityinner-outer factorization
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 28 , Issue 1 , 01 March 1985 , pp. 107 - 112
Copyright
Copyright © Canadian Mathematical Society 1985

References

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