The unconditional basic sequence problem

Journal of the American Mathematical Society

Volumn 6, Issue 4, 1993, Pages 851-874

  Gowers, W T ^a,b   Maurey, B ^c,d  

^a TRINITY COLLEGE   (United Kingdom)

^b UNIVERSITY COLLEGE LONDON   (United Kingdom)

^c UNIVERSITÉ PARIS DESCARTES   (France)

^d UNIVERSITÉ GUSTAVE EIFFEL   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84968501773     PISSN: 08940347     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0894-0347-1993-1201238-0     Document Type: Article

References (14)

1. C. Bessaga and A. Pelczyński, A generalization of results of R. C. James concerning absolute bases in Banach spaces, Studia Math. 17 (1958), 165–174.
2. P. G. Casazza and T. Shura, Tsirelson’s space, Lecture Notes in Math., vol. 1363, Springer Verlag, New York, 1988.
3. N. Dunford and J. Schwartz, Linear operators, Vol. I, Interscience, New York, 1958.
4. P. Enflo, A counterexample to the approximation property in Banach spaces, Acta Math. 130 (1973), 309–317.
5. W. T. Gowers, A solution to Banach’s hyperplane problem, preprint.
6. ——, A solution to the Schroeder-Bernstein problem for Banach spaces, preprint.
7. J. Lindenstrauss, Some aspects of the theory of Banach spaces, Adv. Math. 5 (1970), 159–180.
8. J. Lindenstrauss and A. Pelczyński, Contributions to the theory of classical Banach spaces, J. Funct. Anal. 8 (1971), 225–249.
9. J. Lindenstrauss and L. Tzafriri, Classical Banach spaces, Vol. I, Springer-Verlag, New York, 1977.
10. B. Maurey and H. P. Rosenthal, Normalized weakly null sequences with no unconditional subsequence, Studia Math. 61 (1977), 77–98.
11. E. Odell and T. Schlumprecht, The distortion problem, preprint.
12. T. Schlumprecht, An arbitrarily distortable Banach space, Israel J. Math. 76 (1991), 81–95.
13. p, preprint.
14. 0, Funct. Anal. Appl. 8 (1974), 138–141.