References
Bessaga, C. &Pelczynski, A., On bases and unconditional convergence of series in Banach spaces.Studia Math., 17 (1958), 151–164.
Bourgain, J. & Rosenthal, H., Geometrical implications of certain finite dimensional decompositions. To appear.
Davis, W. J., Figiel, T., Johnson, W. B. &Pelczynski A., Factoring weakly compact operators.J. Functional Analysis, 17 (1974), 311–327.
Dean, D., Singer, I. &Sternbach, L., On shrinking basic sequences in Banach spaces.Studia Math., 40 (1971), 23–33.
Diestel, J. & Uhl, J. J.,Vector Measures. American Mathematical Society, Mathematical Surveys, 15 (1977).
Grothendieck, A., Sur les applications linéaires faiblement compactes d'espaces du typeC(K).Canad. J. Math., 5 (1953), 129–173.
James, R. C., Uniformly non square Banach spaces.Ann. of Math., 80 (1964), 542–550.
Kadec, M. I. &Pelczynski, A., Bases, lacunary sequences and complemented subspaces inL p.Studia Math., 21 (1962), 161–176.
Lewis, D. &Stegall, C., Banach spaces whose duals are isomorphic tol 1(T)J. Functional Analysis, 12 (1971), 177–187.
Lindenstrauss, J., Extension of compact operators.Mem. Amer. Math. Soc., 48 (1964).
Lindenstrauss, J. &Pelczynski, A., Absolutely summing operators inL p spaces and their applications.Studia Math., 29 (1968), 275–326.
Lindenstrauss, J. &Rosenthal, H. P., TheL p spaces.Israel J. Math., 7 (1969), 325–349.
Lindenstrauss, J. & Tzafriri, L.,Classical Banach spaces. Springer Lectures Notes in Mathematics, 338 (1973).
—,Classical Banach spaces I. Ergebnisse der Mathematik and Ihrer Grenzgebiete 92, Springer, Berlin, 1977.
Rosenthal, H. P., A characterization of Banach spaces containingl 1.Proc. Nat. Acad. Sci. U.S.A., 71 (1974), 2411–2413.
Singer, I.,Bases in Banach spaces I. Springer Verlag Berlin 1970.
Zippin, M., On some subspaces of Banach spaces whose duals areL 1 spaces.Proc. Amer. Math. Soc., 23 (1969), 378–385.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bourgain, J., Delbaen, F. A class of specialL α spaces. Acta Math. 145, 155–176 (1980). https://doi.org/10.1007/BF02414188
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02414188