Ideals of operators on (⊕ℓ^{∞}(𝑛))_{ℓ¹}

Leung, Denny

doi:10.1090/S0002-9939-2015-12500-2

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: The unique maximal ideal in the Banach algebra , $E = (\oplus \ell ^\infty (n))_{\ell ^1}$ , 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 due to Laustsen, Odell, Schlumprecht and Zsák (published in the Journal of the London Mathematical Society in 2012).

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