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Brown-Halmos Type Theorems of Weighted Toeplitz Operators

Published online by Cambridge University Press:  20 November 2018

Takahiko Nakazi
Takahiko Nakazi*
Affiliation:
Department of Mathematics Faculty of Science Hokkaido University Sapporo 060 Japan
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Abstract

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The spectra of the Toeplitz operators on the weighted Hardy space ${{H}^{2}}\,(W\,d\theta \,/\,2\pi )$ and the Hardy space ${{H}^{p}}\,(d\theta \,/\,2\pi )$, and the singular integral operators on the Lebesgue space ${{L}^{2}}\,(d\theta \,/\,2\pi )$ are studied. For example, the theorems of Brown-Halmos type and Hartman-Wintner type are studied.

Keywords

47B35Toeplitz operatorsingular integral operatorweighted Hardy spacespectrum
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 41 , Issue 2 , 01 June 1998 , pp. 196 - 206
Copyright
Copyright © Canadian Mathematical Society 1998

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