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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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The numerical range of a Toeplitz operator
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by E. M. Klein PDF
Proc. Amer. Math. Soc. 35 (1972), 101-103 Request permission

Abstract:

In this paper we explicitly compute the numerical range of an arbitrary Toeplitz operator on the classical Hardy space ${H^2}$ of the unit circle. In particular, we show that the numerical range depends only on the spectrum of the given Toeplitz operator. Several special cases are also considered.
References
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 35 (1972), 101-103
  • MSC: Primary 47B35
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0296725-4
  • MathSciNet review: 0296725