International Journal of Functional Analysis, Operator Theory and Applications
Volume 3, Issue 2, Pages 163 - 189
(December 2011)
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ON HYPONORMALITY OF TRIGONOMETRIC TOEPLITZ OPERATORS
Munmun Hazarika and Ambeswar Phukon
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Abstract:
If  is a trigonometric polynomial with  different from zero, then the Toeplitz operator  is hyponormal iff the coefficients of j satisfy the symmetry condition
In this paper, we consider the case when  and frame necessary and sufficient conditions for hyponormality of the trigonometric Toeplitz operator  when the coefficients of j satisfy partial symmetry conditions. |
| Keywords and phrases: Toeplitz operators, hyponormal operators, trigonometric polynomial. |
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