References
Abramovich, Y.A., Aliprantis, C.D., Burkinshaw, O.: Positive operators on Krein spaces. Acta Appl. Math.27, 1–22 (1992)
Aliprantis, C.D., Burkinshaw, O.: Positive compact operators on Banach lattices. Math. Z.174, 289–298 (1980)
Aliprantis, C.D., Burkinshaw, O.: Positive Operators. New York London: Academic Press 1985
Andô, T.: Positive operators in semi-ordered linear spaces. J. Fac. Sci. Hokkaido Univ., Ser. 1,13, 214–228 (1957)
Caselles, V.: On irreducible operators on Banach lattices. Indagationes Math.48, 11–16 (1986)
Caselles, V.: On band irreducible operators on Banach lattices. Quaest. Math.10, 339–350 (1987)
Grobler, J.J.: A short proof of the Andô-Krieger theorem. Math. Z.174, 61–62 (1980)
Grobler, J.J.: Band irreducible operators. Indagationes Math.48, 405–409 (1986)
Krein, M.G., Rutman, M.A.: Linear operators leaving invariant a cone in a Banach space (in Russian). Usp. Mat. Nauk3, 3–95 (1948); Transl. Am. Math. Soc.26 (1950).
Krieger, H.J.: Beiträge zur Theorie positiver Operatoren. (Schriftenr. Inst. Math., Reihe A, Heft 6) Berlin: Akademie-Verlag 1969
Lomonosov, V.I.: Invariant subspaces of the family of operators that commute with a completely continuous operator (in Russian). Funkts. Anal. Prilozh.7 (no. 3), 55–56 (1973)
Lozanovskii, G.Ja.: A supplement to the article: Localized functional in vector lattices (in Russian). Zap. Nauchn. Semin Leningr. Otd. Mat. Inst. Steklova56, 188–190 (1976). MR 55 # 3740
Luxemburg, W.A.J., Zaanen, A.C.: Riesz Spaces I. Amsterdam: North-Holland 1971
de Pagter, B.: Irreducible compact operators. Math. Z.192, 149–153 (1986)
Schaefer, H.H.: Topologische Nilpotenz irreduzibler Operatoren. Math. Z.117, 135–140 (1970)
Schaefer, H.H.: Banach Lattices and Positive Operators. Berlin Heidelberg New York: Springer 1974
Schaefer, H.H.: On theorems of de Pagter and Andô-Krieger. Math. Z.192, 155–157 (1986)
Zaanen, A.C.: Riesz Spaces II. Amsterdam: North-Holland 1983
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An erratum to this article is available at http://dx.doi.org/10.1007/BF02571705.
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Abramovich, Y.A., Aliprantis, C.D. & Burkinshaw, O. On the spectral radius of positive operators. Math Z 211, 593–607 (1992). https://doi.org/10.1007/BF02571448
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DOI: https://doi.org/10.1007/BF02571448