This is a preview of subscription content, log in via an institution to check access.
Literature cited
W. J. Davis, T. Figiel, W. B. Johnson, and A. Pelczynski, “Factoring weakly compact operators,” J. Functional Anal.,17, 311–327 (1974).
J. Bourgain, D. H. Fremlin, and M. Talagrand, “Pointwise compact sets of Baire-measurable functions,” Am. J. Math.,100, No. 4, 845–886 (1978).
J. Dixmier, “Sur un theoreme de Banach,” Duke Math. J.,15, 1057–1071 (1948).
R. Haydon, “Some more characterizations of Banach spaces containing Z1,” Math. Proc. Cambridge Philos. Soc.,80, 269–276 (1976).
E. Marczewski, “Ensembles indépendants et leurs applications a la théorie de la mesure,” Fund. Math.,35, 13–28 (1948).
A. V. Arkhangel'skii and V. I. Ponomarev, The Foundations of General Topology in Problems and Exercises [in Russian], Nauka, Moscow (1974).
V. I. Rybakov, “The universal measurability of an identity mapping of a Banach space in certain topologies,” Mat. Zametki,23, 305–314 (1978).
J. Lindenstrauss, “On extreme points inZ 1,” Israel J. Math.,4, 59–61 (1966).
R. E. Huff and P. D. Morris, “Dual spaces with the Krein-Milman property,” Proc. Am. Math. Soc.,49, No. 1, 104–108 (1975).
E. Saab, “Une caractérisation de convexes σ(E′, E)-compacts possédant la propriété de Radon-Nikodym,” C. R. Acad. Sci., Paris, Ser. A,286, 45–48 (1978).
E. Thomas, “Sur les applications lineaires 1-sommantes et nikodymisantes,” C. R. Acad. Sci., Paris, Ser. A,278, 253–255 (1974).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 33, No. 1, pp. 49–64, January, 1983.
Rights and permissions
About this article
Cite this article
Rybakov, V.I. Banach spaces with k- and m-admissible sets. Mathematical Notes of the Academy of Sciences of the USSR 33, 25–32 (1983). https://doi.org/10.1007/BF01141195
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01141195