This is a preview of subscription content, log in via an institution to check access.
Literature cited
M. Yu. Lyubich and Yu. I. Lyubich, “The spectral theory of the almost periodic representations of semigroups,” Ukr. Mat. Zh.,36, No. 5, 632–636 (1984).
M. Yu. Lyubich and Yu. I. Lyubich, “Splitting-off of the boundary spectrum for almost periodic operators and representations of semigroups,” Teor. Funktsii Funktsional. Anal. i Prilozhen. (Kharkov), No. 45, 69–84 (1986).
M. Yu. Lyubich and Yu. I. Lyubich, “The general form of nonnegative projections in a space of continuous functions on a compactum,” Teor. Funktsii Funktsional. Anal. i. Prilozhen. (Kharkov), No. 43, 87–93 (1985).
Yu. I. Lyubich, Introduction to the Theory of Banach Representations of Groups, Birkhauser, Basel (1988).
M. Rosenblatt, “Equicontinuous Markov operators,” Teor. Veroyatn. Primen.,9, No. 2, 205–222 (1964).
B. Jamison and R. Sine, “Irreducible almost periodic Markov operators,” J. Math. Mech.,18, 1043–1057 (1969).
B. Jamison, “Ergodic decompositions induced by certain Markov operators,” Trans. Am. Math. Soc.,117, No. 5, 451–468 (1965).
B. Jamison, “Asymtotic behavior of successive iterates of continuous functions under a Markov operator,” J. Math. Anal. Appl.,9, 203–214 (1964).
Walters, “Invariant measures and equilibrium states for some mappings which expand distances,” Trans. Am. Math. Soc.,236, 121–153 (1978).
Ya. G. Sinai, “Gibbsian measures in ergodic theory,” Usp. Mat. Nauk,27, No. 4, 21–64 (1972).
Additional information
Translated from Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya, No. 46, pp. 54–72, 1986.
Rights and permissions
About this article
Cite this article
Lyubich, M.Y., Lyubich, Y.I. The Perron-Frobenius theory for almost-periodic operators and representations of semigroups. J Math Sci 48, 539–554 (1990). https://doi.org/10.1007/BF01095623
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01095623