Ideals of operators on (oplus ell^infty(n))_(ell¹)
classification
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inftylaustsenoperatorsoplusalgebrabanachdevelopeddichotomy
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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 Zs\'{a}k.
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