Induced contraction semigroups and random ergodic theorems

Yoshimoto, T.

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Tytuł książki

Induced contraction semigroups and random ergodic theorems

Autorzy

T. Yoshimoto

Seria

Rozprawy Matematyczne tom/nr w serii: 139 wydano: 1976

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Abstrakty

CONTENTS

§ 1. Introduction.................................................................................................... 5
§ 2. Contraction quasi semigroups associated with, a semiflow....................... 7
§ 3. Induced contraction semigroups....................................................................... 12
§ 4. Discrete random ergodic theorems.................................................................. 18
§ 5. Continuous random ergodic theorems............................................................ 30

Słowa kluczowe

Tematy

Wydawca

Instytut Matematyczny Polskiej Akademii Nauk

Miejsce publikacji

Warszawa

Seria

Rozprawy Matematyczne tom/nr w serii: 139

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Opis fizyczny

Dissertationes Mathematicae, Tom CXXXIX

Daty

wydano

1976

Twórcy

autor

T. Yoshimoto

Department of Mathematics, Faculty of Engineering, Toyo University, Kawagoe, Saitama, Japan

Bibliografia

[1] M. A. Akcoglu, Pointwise ergodic theorems, Trans. Amer. Math. Soc. 125 (1966), pp. 296-309.
[2] M. A. Akcoglu and R. V. Chacon, A local ratio theorem, Can. J. Math. 22 (1970), pp. 545-552.
[3] M. A. Akcoglu and J. Cunsolo, An ergodic theorem for semigroups, Proc. Amer. Math. Soc. 24 (1970), pp. 166-170.
[4] G. Baxter, A general ergodic theorem with weighted averages, J. Math. Mech. 14 (1965), pp. 277-288.
[5] A. Beck and J. T. Schwartz, A vector-valued random ergodic theorem, Proc. Amer. Math. Soc. 8 (1957), pp. 1049-1059.
[6] R. Cairoli, Sur le théorème ergodique aléatoire, Bull. Sci. Math. 88 (1964), pp. 31-37.
[7] R. V. Chacon, An ergodic theorem for operators satisfying norm conditions, J. Math. Mech. 11 (1962), pp. 165-172.
[8] R. V. Chacon, Convergence of operator averages, Ergodic Theory (ed. by P. B. Wright), pp. 89-120, New York; Academic Press 1963.
[9] N. Dunford, Integration and linear operators, Trans Amer. Math. Soc. 40 (1936), pp. 474-494.
[10] N. Dunford and J. T. Schwartz, Convergence almost everywhere of operator averages, J. Rat. Mech. Anal. 5 (1956), pp. 129-178.
[11] N. Dunford and J. T. Schwartz, Linear operators I, Interscience, New York 1957.
[12] H. Fong and L. Sucheston, On the ratio ergodic theorem for semigroups, Pacific J. Math. 39 (1971), pp. 659-667.
[13] S. Gładysz, Über den stochastischen Ergodensatz, Studia Math. 15 (1956), pp. 158-173.
[14] E. Hille and R. S. Phillips, Functional analysis and semigroups, Colloq. Publ. Amer. Math. Soc. 1957.
[15] E. Kin, Skew products of dynamical systems, Trans. Amer. Math. Soc. 166 (1972), pp. 27-43.
[16] E. Kin, The general random ergodic theorem. I, Z. Wahrscheinlichkeitstheorie verw. Geb. 22 (1972), pp. 120-135.
[17]] E. Kin, The general random ergodic theorem. II, ibid. 22 (1972), pp. 136-144.
[18] U. Krengel, A local ergodic theorem, Inventiones Math. 6 (1969), pp. 329-333.
[19] D. S. Ornstein, The sums of iterates of a positive operators, Advances in Probability and Related Topics (ed. by P. Ney), Marcel Dekker Inc. 2
[22] T. M. Terrell, Local ergodic theorems for N-parameter semigroups of operators, Contributions to Ergodic Theory and Probability, Springer-Verlag 160 (1970), pp. 262-278.
[23] T. Yoshimoto, Bandom ergodic theorem with weighted averages, Z. Wahrscheinlichkeitstheorie verw. Geb. 30 (1974), pp. 149-165; Erratum, ibid. 31 (1975), p. 161.
[24] T. Yoshimoto, An ergodic theorem for noncommutative operators, Proc. Amer. Math. Soc. (to appear).
[25] K. Yosida, Functional analysis, Springer-Verlag, 1965.

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