Remarks about Schlumprecht space

Denka Kutzarova

Remarks about Schlumprecht space

泛函分析 2009-10-02 v2

作者: Denka Kutzarova

摘要

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 $S$ .

引用

@article{arxiv.math/9802129,
  title  = {Remarks about Schlumprecht space},
  author = {Denka Kutzarova},
  journal= {arXiv preprint arXiv:math/9802129},
  year   = {2009}
}

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