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Literature cited
S. L. Sobolev, “On a theorem of functional analysis,” Mat. Sb.,4, No. 3, 471–497 (1938).
S. G. Krein, “On the concept of a normal scale of spaces,” Dokl. Akad Nauk SSSR,132, No. 3, 510–513 (1960).
S. G. Krein and Yu. I. Petukhin, “Scales of Banach spaces,” Ukr. Mat. Zh.,21, No. 2, 89–168 (1966).
Yu. I. Petukhin, “Factorization of scales of Banach spaces,” Funkts. Anal. Prilozhen.,4, No. 4, 81–82 (1970).
N. Bourbaki, Espaces Topologiques Vectoriels, Hermann, Paris.
L. V. Kantorovich and G. P. Akilov, Functional Analysis in Normed Spaces [in Russian], Fizmatgiz, Moscow (1959), p. 684.
J. Kelley, General Topology, Van Nostrand, New York.
B. Z. Vulikh, Introduction to the Theory of Semiordered Spaces [in Russian], Fizmatgiz, Moscow (1961), p. 407.
G. Birkhoff, Theory of Structures [Russian translation], Izd. Inostr. Lit., Moscow (1952), p. 407.
H. Schaeffer, Topological Vector Spaces, Springer-Verlag, New York.
L. V. Kantorovich, B. Z. Vulikii, and A. G. Pinsker, Functional Analysis in Semiordered Spaces [in Russian], Gostekhizdat, Moscow-Leningrad (1950), p. 546.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 29, No. 3, pp. 344–350, May–June, 1977.
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Petukhin, Y.I., Pogrebnoi, V.D. Topological imbedding of semiordered topological vector spaces. Ukr Math J 29, 259–264 (1977). https://doi.org/10.1007/BF01104472
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DOI: https://doi.org/10.1007/BF01104472