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References
H.Apiola, On the tensor product and product Hom(f, g) of compact operators in locally convex topological vector spaces. Ann. Acad. Sci. Fennicae, Ser. A, Math.544, Helsinki 1973.
H. Apiola, Some permanence properties of locally convex spaces defined by norm space ideals of operators. Studia Math.55, 265–278 (1976).
J.Bergh and J.Löfström, Interpolation spaces. Berlin-Heidelberg-New York 1976.
A. Brown andC. Pearcy, Spectra of tensor products of operators. Proc. Amer. Math. Soc.17, 162–166 (1966).
J. R. Holub, Tensor product mappings I. Math. Ann.188, 1–12 (1970).
J. R. Holub, Compactness in topological tensor products and operator spaces. Proc. Amer. Math. Soc.36, 398–406 (1972).
J. R. Holub, Tensor product mappings II. Proc. Amer. Math. Soc.42, 437–441 (1974).
T. Ichinose, On the spectra of tensor products of linear operators in Banach spaces. J. Reine Angew. Math.244, 119–153 (1970).
G. E. Karadčov, The interpolation method of “means” for quasi-normed spaces. Doklady Acad. Nauk SSSR209, 33–36 (1973).
G.Köthe, Topological vector spaces (I and II). New York-Heidelberg-Berlin 1966 and 1979.
S. M.Nikolskij, Approximation of functions of several variables and imbedding theorems. Moscow 1969 and New York-Heidelberg 1975.
A.Pietsch, Operator ideals. Berlin 1978 and Amsterdam-New York-Oxford 1980.
A. Pietsch, Approximation spaces. J. Approximation Theory32, 115–134 (1981).
M. Schechter, On the spectra of operators on tensor products. J. Funct. Anal.4, 95–99 (1969).
T. Terzioglu, On the diametral dimension of the projective tensor products. Revue Fac. Sci. Univ. Istanbul Sér. A.38, 5–10 (1973).
T. Terzioglu, On the Gelfand numbers of Hom(S, T). Math. Balkanica5, 273–275 (1975).
N.Tita, Contribuţii la studiul unor clase de operatori liniari şi aplicaţii. Thesis, Univ. Bucarest 1976.
H.Triebel, Interpolation theory, function spaces, differential operators. Berlin 1978 and Amsterdam-New York-Oxford 1978.
K.Vala, On compact sets of compact operators. Ann. Acad. Sci. Fennicae, Ser. A, Math.351, Helsinki 1964.
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Pietsch, A. Tensor products of sequences, functions, and operators. Arch. Math 38, 335–344 (1982). https://doi.org/10.1007/BF01304796
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DOI: https://doi.org/10.1007/BF01304796