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Literature Cited
D. R. Lewis, “Conditional weak compactness in certain inductive tensor products,” Math. Ann.,201, No. 3, 201–209 (1973).
Y. Gordon, D. R. Lewis, and J. R. Retherford, “Banach ideals of operators with applications,” J. Functional Analysis,14, 85–129 (1973).
P. Saphar, “Hypothesis of approximation of order p in Banach spaces and approximation of p-absolutely summing mappings,” Israel J. Math.,13, 379–399 (1972).
J. R. Holub, “Hilbertian operators and reflexive tensor products,” Pacific J. Math.,36, 185–194 (1971).
S. Kheinrikh, “On the reflexivity of the Banach space L(E, E),” Funktsional. Analiz i Ego Prilozhen.,8, No. 2, 97–98 (1974).
A. Pietsch, “Adjoint normed operator ideals,” Math. Nachr.,48, 189–211 (1971).
A. Grothendieck, “Topological tensor products and nuclear spaces,” Mem. Amer. Math. Soc.,16 (1955).
P. Saphar, “Tensor products of Banach spaces and classes of linear mappings,” Studia Math.,38, 71–100 (1970).
A. Persson, “On some properties of p-nuclear and p-integral operators,” Studia Math.,33, 213–222 (1969).
A. Pietsch, “Absolutely p-summing mappings in normed spaces,” Studia Math.,28, 333–353 (1966–1967).
A. Pietsch and A. Persson, “p-Nuclear and p-integral mappings in Banach spaces,” Studia Math.,33, 19–62 (1969).
R. Schatten, A Theory of Cross-Spaces, Annals of Mathematics Studies, No. 26, Princeton Univ. Press, Princeton, New Jersey (1950).
M. M. Day, Normed Linear Spaces, Ergebnisse der Mathematik und Ihrer Grenzgebiete, N. F., No. 21, Springer, New York (1973).
P. Wojtaszcyk, “Approximation properties and universal Banach spaces,” Bull. Soc. Math. France, Mem., Nos. 31–32, 395–398 (1972).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 17, No. 5, pp. 1160–1167, September–October, 1976.
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Kheinrikh, S. Weak sequential completeness of Banach operator ideals. Sib Math J 17, 857–862 (1976). https://doi.org/10.1007/BF00966386
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DOI: https://doi.org/10.1007/BF00966386