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arXiv · 1310.7352

Ideals of operators on $(\oplus \ell^\infty(n))_{\ell^1}$

Denny H. Leung
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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 and a dichotomy result for operators mapping into $L^1$ due to Laustsen, Odell, Schlumprecht and Zsák.

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Denny H. Leung. 2013-10-28. Ideals of operators on $(\oplus \ell^\infty(n))_{\ell^1}$. https://arxiv.org/abs/1310.7352

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