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A theorem of M. G. Krein and M. A. Rutman. (English) Zbl 0457.47028

47B60Operators on ordered spaces
47A10Spectrum and resolvent of linear operators
46A40Ordered topological linear spaces, vector lattices
Full Text: DOI
[1] M. G. Krein and M. A. Rutman, Usp. Mat. Nauk,3, No. 1, 3--95 (1948).
[2] M. A. Krasnosel’skii, Positive Solutions of Operator Equations [in Russian], Fizmatgiz, Moscow (1962).
[3] S. Karlin, J. Math. Mech.,8, No. 6, 907--937 (1959).
[4] I. Marek, Siam. J. Appl. Math.,15, No. 3, 484--494 (1967). · doi:10.1137/0115044
[5] B. Imomnazarov, T. Sabirov, and V. Ya. Stetsenko, Dokl. Akad. Nauk Tadzh. SSR,11, No. 1, 6--9 (1968).
[6] M. A. Krasnosel’skii, G. M. Vainikko, P. P. Zabreiko, Ya. B. Rutitskii, and V. Y. Stetsenko, Approximate Solution of Operator Equations [in Russian], Nauka, Moscow (1969).
[7] P. P. Zabreiko, M. A. Krasnosel’skii, and Yu. V. Pokornyi, Funkts. Anal. Prilozhen.,5, No. 4, 9--17 (1971). · doi:10.1007/BF01075842
[8] M. A. Kaashock, Proc. Kon. Ned. Akad. Wetensch. A. Indag. Math.,76, No. 3, 254--262 (1973). · doi:10.1016/1385-7258(73)90012-7
[9] I. Ts. Gokhberg and M. G. Krein, Usp. Mat. Nauk.,12, No. 2, 43--118 (1957).
[10] N. Dunford and J. T. Schwartz, Linear Operators. General Theory, Wiley, New York.
[11] H. Schaefer, Topological Vector Spaces, Springer-Verlag, New York. · Zbl 0212.14001