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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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$k$-hyponormality of powers of weighted shifts via Schur products
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by Raúl Curto and Sang Soo Park PDF
Proc. Amer. Math. Soc. 131 (2003), 2761-2769 Request permission

Abstract:

We characterize $k$-hyponormality and quadratic hyponormality of powers of weighted shifts using Schur product techniques.
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Additional Information
  • Raúl Curto
  • Affiliation: Department of Mathematics, The University of Iowa, Iowa City, Iowa 52242
  • MR Author ID: 53500
  • Email: curto@math.uiowa.edu
  • Sang Soo Park
  • Affiliation: Department of Mathematics, Kyungpook National University, Deagu, Korea
  • Email: pss4855@hanmail.net
  • Received by editor(s): October 5, 2001
  • Received by editor(s) in revised form: March 27, 2002
  • Published electronically: November 13, 2002
  • Additional Notes: The research of the first author was partially supported by NSF grant DMS-9800931
    The research of the second author was partially supported by KOSEF research project no. R01-2000-00003
  • Communicated by: Joseph A. Ball
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 131 (2003), 2761-2769
  • MSC (1991): Primary 47B37, 47B20; Secondary 47-04, 47A13
  • DOI: https://doi.org/10.1090/S0002-9939-02-06805-3
  • MathSciNet review: 1974333