Ideals of operators on $(\oplus \ell ^\infty (n))_{\ell ^1}$
Author:
Denny H. Leung
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
Published electronically:
February 20, 2015
MathSciNet review:
3336629
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Abstract | References | Similar Articles | Additional Information
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
Article copyright:
© Copyright 2015
American Mathematical Society