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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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The Dixmier approximation theorem in algebras of measurable operators
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by Guy H. Flint, Ben de Pagter and Fedor A. Sukochev PDF
Proc. Amer. Math. Soc. 141 (2013), 909-918 Request permission

Abstract:

In this paper we are concerned with proving versions of the classical Dixmier approximation theorem in the setting of algebras of $\tau$-measurable operators $S\left ( \mathcal {M},\tau \right )$ and its $\mathcal {M}$-bimodules, where $\mathcal {M}$ is a semi-finite von Neumann algebra equipped with a semi-finite normal faithful trace $\tau$.
References
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Additional Information
  • Guy H. Flint
  • Affiliation: School of Mathematics and Statistics, University of New South Wales, Kensington 2052, NSW, Australia
  • Email: guy.flint@gmail.com
  • Ben de Pagter
  • Affiliation: Delft Institute of Applied Mathematics, Delft University of Technology, Fac. EEMCS, Mekelweg 4, 2628CD Delft, The Netherlands
  • Email: b.depagter@tudelft.nl
  • Fedor A. Sukochev
  • Affiliation: School of Mathematics and Statistics, University of New South Wales, Kensington 2052, NSW, Australia
  • MR Author ID: 229620
  • Email: f.sukochev@unsw.edu.au
  • Received by editor(s): July 14, 2011
  • Published electronically: July 2, 2012
  • Additional Notes: The work of the third author was supported by the ARC
  • Communicated by: Marius Junge
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 141 (2013), 909-918
  • MSC (2010): Primary 46L51, 47B10; Secondary 46L52
  • DOI: https://doi.org/10.1090/S0002-9939-2012-11479-0
  • MathSciNet review: 3003683