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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 absolute continuity of a class of Toeplitz operators
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by Marvin Rosenblum PDF
Proc. Amer. Math. Soc. 38 (1973), 537-540 Request permission

Abstract:

It is shown that certain generalized Toeplitz operators are the real parts of subnormal operators that have no normal part, and hence are absolutely continuous. It follows that the Toeplitz operators associated with the real parts of nonconstant bounded holomorphic functions in the polydisc are absolutely continuous.
References
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Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 38 (1973), 537-540
  • MSC: Primary 47B35
  • DOI: https://doi.org/10.1090/S0002-9939-1973-0313866-4
  • MathSciNet review: 0313866