A characterization of banach spaces containing c0

Journal of the American Mathematical Society

Volumn 7, Issue 3, 1994, Pages 707-748

  Rosenthal, Haskell ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

Convex block basis; Differences of semi continuous functions; The 1 Theorem; Weakly sequentially complete dual

Indexed keywords

EID: 84968469514     PISSN: 08940347     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0894-0347-1994-1242455-4     Document Type: Article

References (20)

1. S.F. Bellenot, More quasi-reflexive subspaces, Proc. Amer. Math. Soc. 101 (1987), 693–696.
2. C. Bessaga and A. Pelczyński, On bases and unconditional convergence of series in Banach spaces, Studia Math. 17 (1958), 151–164.
3. ∞-spaces, Acta Math. 145 (1980), 155–176.
4. J. Bourgain and H.P. Rosenthal, Geometrical implications of certain finite dimensional decompositions, Bull. Soc. Math. Belg. 32 (1980), 57–82.
5. 1 space, Proc. Amer. Math. Soc. 47 (1975), 515–516.
6. J. Elton, Weakly null normalized sequences in Banach spaces, Doctoral Thesis, Yale University, 1978.
7. C. Finet, Subspaces of Asplund Banach spaces with the point continuity property, Israel J. Math. 60 (1987), 191–198.
8. 1 or a reflexive subspace, preprint.
9. R. Haydon, E. Odell, and H. Rosenthal, On certain classes of Baire-1 functions with applications to Banach space theory, Functional Analysis Proceedings (The University of Texas at Austin 1987–89), Lecture Notes in Math., vol. 1470, Springer-Verlag, Berlin and New York, 1991, pp. 1–35.
10. W.B. Johnson and H. Rosenthal, On ω*-basic sequences and their applications to the study of Banach spaces, Studia Math. 43 (1972), 77–92.
11. A.S. Kechris and A. Louveau, A classification of Baire class 1 Junctions, Trans. Amer. Math. Soc. 318 (1990), 209–236.
12. 1, Israel J. Math. 20 (1975), 375–384.
13. A. Pelczyński, A connection between weakly unconditional convergence and weak completeness of Banach spaces, Bull. Acad. Polon. Sci. 6 (1958), 251–253.
14. ——, Banach spaces on which every unconditionally converging operator is weakly compact, Bull. Acad. Polon. Sci. 10 (1962), 641–648.
15. 1, Proc. Nat. Acad. Sci. U.S.A. 71 (1974), 2411–2413.
16. ——, Some recent discoveries in the isomorphic theory of Banach spaces, Bull. Amer. Math. Soc. 84 (1978), 803–831.
17. ——, Weak*-Polish Banach spaces, J. Funct. Anal. 76 (1988), 267–316.
18. ——, Some aspects of the subspace structure of infinite dimensional Banach spaces, Approximation Theory and Functional Analysis (C. Chui, ed.), Academic Press, New York, 1991, pp. 151–176.
19. ——, Differences of bounded semi-continuous functions (in preparation).
20. ——, Boundedly complete weak-Cauchy basic sequences in Banach spaces with the PCP (to appear).