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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Hyponormal Toeplitz operators and zeros of polynomials
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by Takahiko Nakazi PDF
Proc. Amer. Math. Soc. 136 (2008), 2425-2428 Request permission

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
  • 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
  • © Copyright 2008 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 2425-2428
  • MSC (2000): Primary 47B20, 47B35
  • DOI: https://doi.org/10.1090/S0002-9939-08-08752-2
  • MathSciNet review: 2390509