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Proceedings of the American Mathematical Society

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A note on hyponormal weighted shifts


Author: Peng Fan
Journal: Proc. Amer. Math. Soc. 92 (1984), 271-272
MSC: Primary 47B37
MathSciNet review: 754718
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Abstract: If $ T$ is a hyponormal weighted shift (unilateral or bilateral) and if $ p$ is a polynomial, $ p(T)$ may not be hyponormal.


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

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DOI: https://doi.org/10.1090/S0002-9939-1984-0754718-2
Article copyright: © Copyright 1984 American Mathematical Society