Literature cited
A. Pelczyński, “Banach spaces on which every unconditionally converging operator is weakly compact,” Bull. Acad. Polon. Sci. Sér. Sci. Math. Astron. Phys.,10, No. 12, 641–648 (1962).
S. V. Kislyakov, “On the Dunford-Pettis, Pelczyński, and Grothendieck conditions,” Dokl. Akad. Nauk SSSR,225, No. 6, 1252–1255 (1975).
J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces, Springer-Verlag, Berlin (1973).
N. Dunford and J. T. Schwartz, Linear Operators, Part I: General Theory, Wiley-Interscience, New York (1958).
V. D. Mil'man, “The geometric theory of Banach spaces, Part 2,” Usp. Mat. Nauk,26, No. 6, 73–149 (1971).
R. E. Edwards, Functional Analysis, Theory and Applications, Holt, Rinehart, and Winston, New York (1965).
J. Dugundji, “An extension of Tietze's theorem,” Pac. J. Math.,1, No. 3, 353–367 (1951).
J. Diestel and J. J. Uhl, Jr., Vector Measures, Am. Math. Soc., Providence (1977).
V. D. Mil'man, “The geometric theory of Banach spaces, Part 1,” Usp. Mat. Nauk,25, No. 3, 113–174 (1970).
C. Foias and I. Singer, “Some remarks on the representation of linear operators in spaces of vector-valued continuous functions,” Rev. Roumaine Math. Pures Appl.,5, 729–752 (1960).
I. Dobrakov, “On representation of linear operators on C0(T, X),” Czech. Math. J.,21, No. 1, 13–30 (1971).
C. Bessaga and A. Pelczyński, “On bases and unconditional convergence of series in Banch spaces,” Stud. Math.,17, No. 2, 151–164 (1958).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 34, No. 1, pp. 55–70, July, 1983.
Rights and permissions
About this article
Cite this article
Ustinov, G.M. Dunford-pettis property in spaces of abstract continuous functions. Mathematical Notes of the Academy of Sciences of the USSR 34, 512–519 (1983). https://doi.org/10.1007/BF01160864
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01160864