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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Hyponormal Toeplitz operators and zeros of polynomials


Author: Takahiko Nakazi
Journal: Proc. Amer. Math. Soc. 136 (2008), 2425-2428
MSC (2000): Primary 47B20, 47B35
Published electronically: March 7, 2008
MathSciNet review: 2390509
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Abstract: The problem of hyponormality for Toeplitz operators with (trigo- nometric) polynomial symbols is studied. We give a necessary and sufficient condition using the zeros of the analytic polynomial induced by the Fourier coefficients of the symbol.


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Additional Information

Takahiko Nakazi
Affiliation: Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo 060-0810, Japan

DOI: http://dx.doi.org/10.1090/S0002-9939-08-08752-2
PII: S 0002-9939(08)08752-2
Keywords: Trigonometric Toeplitz operators, hyponormal operator, Pick problem
Received by editor(s): December 2, 2005
Received by editor(s) in revised form: April 12, 2006
Published electronically: March 7, 2008
Additional Notes: This research was partially supported by Grant-in-Aid for Scientific Research, Japan Society for the Promotion of Science.
Communicated by: Joseph A. Ball
Article copyright: © Copyright 2008 American Mathematical Society