## Remarks about Schlumprecht space

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- by Denka Kutzarova and Pei-Kee Lin PDF
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**128**(2000), 2059-2068 Request permission

## Abstract:

Let $\mathbf S$ denote the Schlumprecht space. We prove that (1) $\ell _\infty$ is finitely disjointly representable in $\mathbf S$; (2) $\mathbf S$ contains an $\ell _1$-spreading model; (3) for any sequence $(n_k)$ of natural numbers, $\mathbf S$ is isomorphic to the space $(\sum _{k=1}^\infty \oplus \ell _\infty ^{n_k})_{\mathbf S}$.## References

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## Additional Information

**Denka Kutzarova**- Affiliation: Institute of Mathematics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria
- Address at time of publication: Department of Mathematics, University of South Carolina, Columbia, South Carolina
- MR Author ID: 108570
- Email: denka@math.sc.edu
**Pei-Kee Lin**- Affiliation: Department of Mathematics, University of Memphis, Memphis, Tennessee 38152
- Email: linpk@msci.memphis.edu
- Received by editor(s): August 3, 1998
- Received by editor(s) in revised form: August 27, 1998
- Published electronically: December 8, 1999
- Additional Notes: Part of this paper was done when the second author visited the University of Texas at Austin and was completed when the first author participated in the Workshop in Linear Analysis and Probability Theory at Texas A&M University, 1998. Both authors would like to thank E. Odell and Th. Schlumprecht for their valuable discussions
- Communicated by: Dale Alspach
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**128**(2000), 2059-2068 - MSC (2000): Primary 46B20, 46B45
- DOI: https://doi.org/10.1090/S0002-9939-99-05248-X
- MathSciNet review: 1654081