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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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On the twenty-ninth question of Allen Shields
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by Joseph G. Stampfli PDF
Proc. Amer. Math. Soc. 66 (1977), 65-68 Request permission

Abstract:

Not every hyponormal weighted shift is the sum of a subnormal weighted shift (in the same basis) and a trace class operator.
References
  • Allen L. Shields, Weighted shift operators and analytic function theory, Topics in operator theory, Math. Surveys, No. 13, Amer. Math. Soc., Providence, R.I., 1974, pp. 49–128. MR 0361899
  • J. G. Stampfli, Which weighted shifts are subnormal?, Pacific J. Math. 17 (1966), 367–379. MR 193520
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Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 66 (1977), 65-68
  • MSC: Primary 47B20
  • DOI: https://doi.org/10.1090/S0002-9939-1977-0458226-4
  • MathSciNet review: 0458226