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Vector valued ergodic theorems for a one-parameter semigroup of linear operators. (English) Zbl 0377.47008


MSC:

47A35 Ergodic theory of linear operators
47D03 Groups and semigroups of linear operators
28D05 Measure-preserving transformations
46E40 Spaces of vector- and operator-valued functions
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References:

[1] R. V. CHACON, An ergodic theorem for operators satisfying norm conditions, J. Math. Mech., 11 (1962), 165-172. · Zbl 0115.33804
[2] N. DUNFORD AND J. T. SCHWARTZ, Linear Operators, Part I, Interscience, New York, 1958.
[3] P. E. KOPP, Abelian ergodic theorems for vector-valued functions, Glasgow Math. J., 16 (1975), 57-60. · Zbl 0311.28011 · doi:10.1017/S0017089500002512
[4] R. SATO, Local ergodic properties of L^-operator semigroups, Comment. Math. Univ Carolinae, 14 (1973), 177-181. · Zbl 0255.47014
[5] R. SATO, A note on a local ergodic theorem, Comment. Math. Univ. Carolinae, 16(1975), 1-11. · Zbl 0308.94034 · doi:10.1007/BF00270290
[6] R. SATO, On a local ergodic theorem, Studia Math., 58 (1976), 1-5 · Zbl 0344.47005
[7] L. SUCHESTON, Problems, in Probability in Banach Spaces (Proc. First Internat. Con ferrence on Probability in Banach Spaces, Oberwolfach, 1975), 285-290, Springer, Berlin-Heidelberg-New York, 1976.
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