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

preprint2013arXivOpen access

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

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Ideals of operators on (⊕ℓ∞(n))ℓ1(\oplus \ell^\infty(n))_{\ell^1}(⊕ℓ∞(n))ℓ1​

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