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Proceedings of the American Mathematical Society

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On the twenty-ninth question of Allen Shields


Author: Joseph G. Stampfli
Journal: Proc. Amer. Math. Soc. 66 (1977), 65-68
MSC: Primary 47B20
MathSciNet review: 0458226
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Abstract: Not every hyponormal weighted shift is the sum of a subnormal weighted shift (in the same basis) and a trace class operator.


References [Enhancements On Off] (What's this?)

  • [1] Allen L. Shields, Weighted shift operators and analytic function theory, Topics in operator theory, Amer. Math. Soc., Providence, R.I., 1974, pp. 49–128. Math. Surveys, No. 13. MR 0361899
  • [2] J. G. Stampfli, Which weighted shifts are subnormal?, Pacific J. Math. 17 (1966), 367–379. MR 0193520

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1977-0458226-4
Keywords: Subnormal, hyponormal, weighted shift, Schatten p-class
Article copyright: © Copyright 1977 American Mathematical Society