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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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Ideals of operators on $(\oplus \ell ^\infty (n))_{\ell ^1}$
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by Denny H. Leung PDF
Proc. Amer. Math. Soc. 143 (2015), 3047-3053 Request permission

Abstract:

The unique maximal ideal in the Banach algebra $L(E)$, $E = (\oplus \ell ^\infty (n))_{\ell ^1}$, is identified. The proof relies on techniques developed by Laustsen, Loy and Read (published in the Journal of Functional Analysis in 2004) and a dichotomy result for operators mapping into $L^1$ due to Laustsen, Odell, Schlumprecht and Zsák (published in the Journal of the London Mathematical Society in 2012).
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Additional Information
  • Denny H. Leung
  • Affiliation: Department of Mathematics, National University of Singapore, Singapore 119076
  • MR Author ID: 113100
  • Email: matlhh@nus.edu.sg
  • Received by editor(s): October 28, 2013
  • Received by editor(s) in revised form: March 17, 2014
  • Published electronically: February 20, 2015
  • Additional Notes: This research was partially supported by Academic Research Fund project no. R-146-000-157-112
  • Communicated by: Thomas Schlumprecht
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 143 (2015), 3047-3053
  • MSC (2010): Primary 47L10; Secondary 46H10
  • DOI: https://doi.org/10.1090/S0002-9939-2015-12500-2
  • MathSciNet review: 3336629