Remarks about Schlumprecht space

Authors:
Denka Kutzarova and Pei-Kee Lin

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

Published electronically:
December 8, 1999

MathSciNet review:
1654081

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let denote the Schlumprecht space. We prove that

(1) is finitely disjointly representable in ;

(2) contains an -spreading model;

(3) for any sequence of natural numbers, is isomorphic to the space .

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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

Email:
denka@math.sc.edu

**Pei-Kee Lin**

Affiliation:
Department of Mathematics, University of Memphis, Memphis, Tennessee 38152

Email:
linpk@msci.memphis.edu

DOI:
https://doi.org/10.1090/S0002-9939-99-05248-X

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

Article copyright:
© Copyright 2000
American Mathematical Society