Literature cited
R. M. Dudley, “The sizes of compact subsets of Hilbert space and continuity of Gaussian processes,” J. Funct. Anal.,1, No. 3, 290–330 (1967).
V. Linde (W. Linde) and A. Pich (A. Pietsch), “Mappings of Gaussian cylindrical measures in Banach spaces,” Teor. Veroyatn. Primen.,19, No. 3, 472–487 (1974).
R. C. James, “Nonreflexive spaces of type 2,” Israel J. Math.,30, No. 1–2, 1–13 (1978).
G. Pisier, “‘Type’ des espaces normés,” Seminaire Maurey-Schwartz, 1973–1974, exp. III.
A. Brunel and L. Sucheston, “On B-convex Banach spaces,” Math. Systems. Theory,7, No. 4, 294–299 (1974).
A. Brunel and L. Sucheston, “On J-convexity and some ergodic superproperties of Banach spaces,” Trans. Am. Math. Soc.,204, No. 1, 79–90 (1975).
B. Beauzamy, “Banach-Saks properties and spreading models,” Math. Scand.,44, No. 2, 357–384 (1979).
C. Bessaga and A. Pelczynski, “On bases and unconditional convergence of series in Banach spaces,” Stud. Math.,17, No. 2, 151–164 (1958).
H. P. Rosenthal, “A characterization of Banach spaces containingℓ1,” Proc. Nat. Acad. Sci. USA,71, No. 6, 2411–2413 (1974).
B. Maurey, “Théorèmes de factorisation pour les applications linéaires à valeurs dans un espace LP,” C. R. Acad. Sci. Paris,274, No. 25, A1825-A1828 (1972).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 37, No. 5, pp. 743–750, May, 1985.
Rights and permissions
About this article
Cite this article
Vladimirskii, Y.N. Compactness of γ-summing operators. Mathematical Notes of the Academy of Sciences of the USSR 37, 410–414 (1985). https://doi.org/10.1007/BF01157975
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01157975