This is a preview of subscription content, log in via an institution to check access.
Literature cited
S. Banach and S. Saks, “Sur la convergence forte dans les champs LP,” Stud. Math.,2, 51–57 (1930).
A. Baernstein, “On reflexivity and summbability. II,” Stud. Math.,42, 91–94 (1972).
A. Pelczynsky and W. Szlenk, “An example of a nonshrinking basis,” Revue Roumanine Math., Pures Appl.,10, 961–965 (1965).
A. Brunel and L. Sucheston, “On B-convex Banach spaces,” Math. Syst. Theory,4, No. 7, 294–299 (1974).
V. D. Mil'man, “Geometric theory of Banach spaces, 1,” Usp. Mat. Nauk,24, No. 3, 113–174 (1970).
W. B. Johnson, “On quotients of Lp which are quotients of lp,” Compositio Math.,34, 69–89 (1977).
E. V. Tokarev, “On linear dimension of certain Banach sequence spaces,” Teor. Funktsii, Funkts, Anal. Prilozh., Kharkov,24, 156–161 (1975).
E. M. Semenov, “Embedding theorems for Banach spaces of measurable functions,” Dokl. Akad. Nauk SSSR,156, No. 6, 1292–1295 (1964).
W. Szlenk, “Sur les suites faiblement convergentes dans l'espace Lp” Stud. Math.,25, 337–341 (1965).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 26, No. 6, pp. 823–834, December, 1979.
The author thanks M. I. Kadets for assistance and useful discussions.
Rights and permissions
About this article
Cite this article
Rakov, S.A. Banach-Saks property of a Banach space. Mathematical Notes of the Academy of Sciences of the USSR 26, 909–916 (1979). https://doi.org/10.1007/BF01142075
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01142075