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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Relaxed commutant lifting: Existence of a unique solution
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by S. ter Horst PDF
Proc. Amer. Math. Soc. 137 (2009), 2697-2707 Request permission

Abstract:

In this paper we present necessary and sufficient conditions for the existence of a unique solution to the relaxed commutant lifting problem. The obtained conditions are more complicated than those for the classical commutant lifting setting, and earlier obtained sufficient conditions turn out not to be necessary conditions. It is also shown that these conditions simplify in certain special cases.
References
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Additional Information
  • S. ter Horst
  • Affiliation: Department of Mathematics, Virginia Tech, Blacksburg, Virginia 24061-0123
  • Email: terhorst@math.vt.edu
  • Received by editor(s): March 3, 2008
  • Received by editor(s) in revised form: October 20, 2008
  • Published electronically: February 4, 2009
  • Communicated by: Marius Junge
  • © 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), 2697-2707
  • MSC (2000): Primary 47A20, 47A56, 47A57
  • DOI: https://doi.org/10.1090/S0002-9939-09-09813-X
  • MathSciNet review: 2497482