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2010 Quasinormality and Numerical Ranges of Certain Classes of Dual Toeplitz Operators
Hocine Guediri
Abstr. Appl. Anal. 2010: 1-14 (2010). DOI: 10.1155/2010/426319


The study of dual Toeplitz operators was elaborated by Stroethoff and Zheng (2002), where various corresponding algebraic and spectral properties were established. In this paper, we characterize numerical ranges of certain classes of dual Toeplitz operators. Moreover, we introduce the analog of Halmos' fifth classification problem for quasinormal dual Toeplitz operators. In particular, we show that there are no quasinormal dual Toeplitz operators with bounded analytic or coanalytic symbols which are not normal.


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Hocine Guediri. "Quasinormality and Numerical Ranges of Certain Classes of Dual Toeplitz Operators." Abstr. Appl. Anal. 2010 1 - 14, 2010.


Published: 2010
First available in Project Euclid: 1 November 2010

zbMATH: 1206.47025
MathSciNet: MR2728601
Digital Object Identifier: 10.1155/2010/426319

Rights: Copyright © 2010 Hindawi

Vol.2010 • 2010
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