References
Day, M. M.: Semigroups and amenability, in Semigroups, ed. K. W. Folley, pp. 5–23. New York: Academic Press 1969
Dunford, N., Schwartz, J. T.: Linear Operators I. New York: Interscience 1957
Dotson, W. G. Jr.: Mean ergodic theorems and iterative solution of linear functional equations, J. Math. Anal. Appl.34, 141–150 (1971)
Eberlein, W. F.: Abstract ergodic theorems and weak almost periodic functions, Trans. Amer. Math. Soc.67, 217–240 (1949)
Koliha, J. J.: Ergodic theory and averaging iterations, Canad. J. Math.25, 14–23 (1973)
Koliha, J. J.: The solution of linear equations in normed spaces by averaging iteration, SIAM J. Math. Anal.5, 178–186 (1974)
Koliha, J. J.: Some convergence theorems in Banach algebras, Pacific J. Math.52, 467–473 (1974)
MacLane, S., Birkhoff, G.: Algebra, Macmillan, New York, 1967
Taylor, A. E.: Introduction to Functional Analysis, New York: Wiley 1958
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Koliha, J.J., Leung, A.P. Ergodic families of affine operators. Math. Ann. 216, 273–284 (1975). https://doi.org/10.1007/BF01430968
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DOI: https://doi.org/10.1007/BF01430968