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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Substrictly cyclic operators
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by Ben Mathes
Proc. Amer. Math. Soc. 137 (2009), 3757-3762
DOI: https://doi.org/10.1090/S0002-9939-09-09938-9
Published electronically: May 28, 2009

Abstract:

We initiate the study of substrictly cyclic operators and algebras. As an application of this theory, we are able to give a description of the strongly closed ideals in the commutant of the Volterra operator, and quite a bit more.
References
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Bibliographic Information
  • Ben Mathes
  • Affiliation: Department of Mathematics, Colby College, Waterville, Maine 04963
  • Email: dbmathes@colby.edu
  • Received by editor(s): April 29, 2008
  • Received by editor(s) in revised form: February 20, 2009
  • Published electronically: May 28, 2009

  • Dedicated: Dedicated to Don Hadwin
  • Communicated by: Nigel J. Kalton
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 3757-3762
  • MSC (2000): Primary 46B28, 47L50, 46L07; Secondary 46H10
  • DOI: https://doi.org/10.1090/S0002-9939-09-09938-9
  • MathSciNet review: 2529884