Proximity to ℓ1and distortion in asymptotic L1spaces

Journal of Functional Analysis

Volumn 150, Issue 1, 1997, Pages 101-145

  Odell, Edward ^a   Tomczak Jaegermann, Nicole ^b   Wagner, Roy ^c  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b UNIVERSITY OF ALBERTA   (Canada)

^c TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031572653     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1997.3106     Document Type: Article

References (26)

1. Alspach D., Argyros S. Complexity of weakly null sequences. Diss. Math. 321:1992;1-44.
2. G. Androulakis, E. Odell, Distorting mixed Tsirelson spaces, Isr. J. Math.
3. 1. Trans. AMS. 349:1997;973-999.
4. S. Argyros, I. Deliyanni, D. Kutzarova, A. Manoussakis, Modified unixed Tsirelson spaces.
5. S. Argyros, S. Merkourakis, A. Tsarpalias, Convex unconditionality and sumability of weakly null sequences.
6. Bellenot S. The Banach spaceT. Israel J. Math. 47:1984;305-313.
7. Bourgain J. On convergent sequences of continuous functions. Bull. Soc. Math. Bel. 32:1980;235-249.
8. Casazza P. G., Johnson W. B., Tzafriri L. On Tsirelson's space. Israel J. Math. 47:1984;81-98.
9. Casazza P. G., Shura T. J. Tsirelson's Space. Lecture Notes in Math. 1363:1989;Springer-Verlag, Berlin/New York.
10. p. Comp. Math. 29:1974;179-190.
11. James R. C. Uniformly non-square Banach spaces. Ann. Math. 80:1964;542-550.
12. R. Judd, A dichotomy on Schreier sets.
13. 1, Isr. J. Math.
14. Kuratowski K. Topology. 1966;Academic Press, New York.
15. D. Leung, Symmetric sequence subspaces ofCα, J. of London Math. Soc.
16. Lindenstrauss J., Tzafriri L. Classical Banach Spaces. 1977;Springer-Verlag, Berlin/New York.
17. Maurey B. A remark about distortion. Operator Theory: Adv. Appl. 77:1995;131-142.
18. Maurey B., Milman V. D., Tomczak-Jaegermann N. Asymptotic infinite-dimensional theory of Banach spaces. Operator Theory: Adv. Appl. 77:1995;149-175.
19. pspaces and bounded distortion. Contemp. Math. 144:1993;173-195.
20. Monk J. D. Introduction to Set Theory. 1969;McGraw-Hill, New York.
21. Odell E., Schlumprecht Th. The distortion problem. Geom. Funct. Anal. 3:1993;201-207.
22. Odell E., Schlumprecht Th. The distortion problem. Acta Math. 173:1994;259-281.
23. 1. Proc. Nat. Acad. Sci. (U.S.A.). 71:1974;2411-2413.
24. Tomczak-Jaegermann N. Banach spaces of typep. Geom. Funct. Anal. 6:1996;1074-1082.
25. N. Tomczak-Jaegermann, December 1994.
26. 0. Funct. Anal. Appl. 8:1974;138-141.