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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 Helton class of $p$-hyponormal operators
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by Yoenha Kim, Eungil Ko and Ji Eun Lee PDF
Proc. Amer. Math. Soc. 135 (2007), 2113-2120 Request permission

Abstract:

In this paper we show that the Helton class of $p$-hyponormal operators has scalar extensions. As a corollary we get that each operator in the Helton class of $p$-hyponormal operators has a nontrivial invariant subspace if its spectrum has its interior in the plane.
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Additional Information
  • Yoenha Kim
  • Affiliation: Department of Mathematics, Ewha Women’s University, Seoul 120-750, Korea
  • MR Author ID: 800848
  • Email: yoenha@ewhain.net
  • Eungil Ko
  • Affiliation: Department of Mathematics, Ewha Women’s University, Seoul 120-750, Korea
  • MR Author ID: 353576
  • Email: eiko@ewha.ac.kr
  • Ji Eun Lee
  • Affiliation: Department of Mathematics, Ewha Women’s University, Seoul 120-750, Korea
  • Email: jieun7@ewhain.net
  • Received by editor(s): December 14, 2004
  • Received by editor(s) in revised form: March 13, 2006
  • Published electronically: February 28, 2007
  • Additional Notes: This work was supported by a grant (R14-2003-006-01000-0) from the Korea Research Foundation.
  • Communicated by: Joseph A. Ball
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 2113-2120
  • MSC (2000): Primary 47B20; Secondary 47A10
  • DOI: https://doi.org/10.1090/S0002-9939-07-08708-4
  • MathSciNet review: 2299488