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References
B.Beauzamy, Introduction to Operator Theory and Invariant Subspaces. Amsterdam 1988.
L. Burlando, Generalized shift operators. Boll. Un. Mat. Ital. B (7)3, 759–772 (1989).
N.Dunford and J. T.Schwartz, Linear Operators I. New York 1958.
I. Marek, Frobenius theory of positive operators: comparison theorems and applications. SIAM J. Appl. Math.19, 607–628 (1970).
A. L.Peressini, Ordered Topological Vector Spaces. New York 1967.
H. H. Schaefer, Some spectral properties of positive linear operators. Pacific J. Math.10, 1009–1019 (1960).
H. H.Schaefer, Topological Vector Spaces. New York 1966.
H. H.Schaefer, Banach Lattices and Positive Operators. Berlin 1974.
A. E.Taylor and D. C.Lay, Introduction to Functional Analysis, second edition. New York 1980.
A. W. Wickstead, Spaces of linear operators between partially ordered Banach spaces. Proc.London Math. Soc. (3)28, 141–158 (1974).
A. C.Zaanen, Riesz Spaces II. Amsterdam 1983.
M. Zerner, Quelques propriétés spectrales des opérateurs positifs. J. Funct. Anal.72, 381–417 (1987).
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Burlando, L. Monotonicity of spectral radius for positive operators on ordered Banach spaces. Arch. Math 56, 49–57 (1991). https://doi.org/10.1007/BF01190081
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DOI: https://doi.org/10.1007/BF01190081