On Banach spaces with few spreading models
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Abstract:
If the set of spreading models of a Banach space $X$ is countable (up to equivalence), then it cannot contain a strictly increasing infinite chain of spreading models generated by normalized weakly null sequences. Moreover, such a space $X$ must have a spreading model which is ‘close’ to $c_0$ or $\ell _p$ for some $1\le p<\infty$.References
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Additional Information
- Bünyamin Sarı
- Affiliation: Department of Mathematics, University of South Carolina, Columbia, South Carolina 29208
- MR Author ID: 741208
- Email: bsari@math.sc.edu
- Received by editor(s): November 2, 2004
- Received by editor(s) in revised form: November 23, 2004
- Published electronically: August 29, 2005
- Communicated by: N. Tomczak-Jaegermann
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 1339-1345
- MSC (2000): Primary 46B20; Secondary 46B15
- DOI: https://doi.org/10.1090/S0002-9939-05-08078-0
- MathSciNet review: 2199177