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Remarks about Schlumprecht space

Denka Kutzarova
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Abstract

We prove that Schlumprecht space $S$ is isomorphic to $(\sum_{k=1}^\infty \oplus \ell_infty ^{n_k})_S $ for any sequence of integers $(n_k)$. We also show that every complemented subspace of $S$ which has some subsymmetric basis, is isomorphic to $S$.

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Denka Kutzarova. 1998-04-16. Remarks about Schlumprecht space. https://arxiv.org/abs/math/9802129

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