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Quasinormality and Numerical Ranges of Certain Classes of Dual Toeplitz Operators

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  • Hocine Guediri

Abstract

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, 2010. "Quasinormality and Numerical Ranges of Certain Classes of Dual Toeplitz Operators," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-14, October.
    • Handle: RePEc:hin:jnlaaa:426319
    DOI: 10.1155/2010/426319
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