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Literature Cited
M. G. Krein and M. A. Rutman, “Linear operators which leave a cone in a Banach space invariant,” Usp. Mat. Nauk,3, No. 1, 3–95 (1948).
M. A. Krasnosel'skii, Positive Solutions of Operator Equations [in Russian], Fizmatgiz, Moscow (1962).
P. P. Zabreiko, M. A. Krasnosel'skii, and Yu. V. Pokornyi, “A certain class of linear positive operators,” Funktsional. Analiz i Ego Prilozhen.,5, No. 4, 9–17 (1971).
M. A. Krasnosel'skii, G. M. Vainikko, P. P. Zabreiko, Ya. B. Rutitskii, and V. Ya. Stetsenko, Approximate Solution of Operator Equations [in Russian], Fizmatgiz, Moscow (1969).
F. R. Gantmakher and M. G. Krein, Oscillatory Matrices and Small Oscillations of Mechanical Systems [in Russian], Gostekhizdat, Moscow-Leningrad (1950).
I. J. Schoenberg, “Über variationvermindernde lineare transformationen,” Math. Z.,32, 321–328 (1930).
F. Hausdorff, Set Theory, 2nd ed., Chelsea, New York (1962).
B. N. Sadovskii, “Operators which are compact in the limit and condensing,” Usp. Mat. Nauk,27, No. 1 (163), 81–146 (1972).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 16, No. 4, pp. 830–836, July–August, 1975.
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Sobolev, A.V. Totally positive operators. Sib Math J 16, 636–641 (1975). https://doi.org/10.1007/BF00967138
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DOI: https://doi.org/10.1007/BF00967138