Remarks about Schlumprecht space

Details Remarks about Schlumprecht space Remarks about Schlumprecht space

1998-02-05

arxiv.org/abs/math/9802129v2

Mathematics

Functional Analysis

Scientific paper

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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