Ideals of operators on $(\oplus \ell ^\infty (n))_{\ell ^1}$
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- by Denny H. Leung PDF
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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).References
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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