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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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Limits of J-class operators
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by Geng Tian and Bingzhe Hou PDF
Proc. Amer. Math. Soc. 142 (2014), 1663-1667 Request permission

Abstract:

The purpose of the present work is to answer an open problem which was raised by G. Costakis and A. Manoussos in their paper “J-class operators and hypercyclicity”, J. Operator Theory 67 (2012), 101-119. More precisely, we give the spectral description of the closure of the set of J-class operators acting on a separable Hilbert space.
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Additional Information
  • Geng Tian
  • Affiliation: Department of Mathematics, Jilin University, 130012, Changchun, People’s Republic of China
  • Email: tiangeng09@mails.jlu.edu.cn
  • Bingzhe Hou
  • Affiliation: Department of Mathematics, Jilin University, 130012, Changchun, People’s Republic of China
  • Email: houbz@jlu.edu.cn
  • Received by editor(s): October 16, 2010
  • Received by editor(s) in revised form: June 11, 2012
  • Published electronically: February 12, 2014
  • Additional Notes: This work was supported by the National Nature Science Foundation of China (Grant No. 11001099)
  • Communicated by: Richard Rochberg
  • © Copyright 2014 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 142 (2014), 1663-1667
  • MSC (2000): Primary 47A55, 47A53, 47A16; Secondary 54H20, 37B99
  • DOI: https://doi.org/10.1090/S0002-9939-2014-11891-0
  • MathSciNet review: 3168472