On Finite Invariant Measure for Semigroups of Operators
Canadian mathematical bulletin, Tome 14 (1971) no. 2, pp. 197-206

Voir la notice de l'article provenant de la source Cambridge University Press

Let Σ be a left amenable semigroup, and let {T σ: σ ∊ Σ} be a representation of Σ as a semigroup of positive linear contraction operators on L 1(X, , p). This paper is devoted to the study of existence of a finite equivalent invariant measure for such semigroups of operators.
Sachdevao, Usha. On Finite Invariant Measure for Semigroups of Operators. Canadian mathematical bulletin, Tome 14 (1971) no. 2, pp. 197-206. doi: 10.4153/CMB-1971-035-2
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[1] 1. Day, M. M., Amenable semigroups, Illinois J. Math. 1 (1957), 509-544. Google Scholar

[2] 2. Dean, D. W. and Sucheston, L., On invariant measures for operators, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 6 (1966), 1-9. Google Scholar

[3] 3. Dowker, Y. N., Finite and σ-finite invariant measures, Ann. of Math. 54 (1951), 595-608. Google Scholar

[4] 4. Granirer, E., On finite equivalent invariant measure for semi-groups of transformations, Duke Math. J. (to appear). Google Scholar

[5] 5. Hajian, A. B. and Ito, Y., Weakly wandering sets and invariant measures for a group of transformations, J. Math. Mech. 18 (1969), 1203-1216. Google Scholar

[6] 6. Hajian, A. B. and Kakutani, S., Weakly wandering sets and invariant measures, Trans. Amer. Math. Soc. 110 (1964), 136-151. Google Scholar

[7] 7. Lloyd, S. P., A mixing condition for extreme left invariant means, Trans. Amer. Math. Soc. 125(1966),461-481. Google Scholar

[8] 8. Natarajan, S., Invariant measures for families of transformations, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete (to appear). Google Scholar

[9] 9. Neveu, J., Mathematical foundations of the calculus of probability, Holden-Day, San Francisco, 1965. Google Scholar

[10] 10. Neveu, J., Existence of bounded invariant measures in Ergodic theory, Proc. of the Fifth Berkeley Symp., Vol. 2, pt. 2, 461-472. Google Scholar

[11] 11. Sucheston, L., An ergodic application of almost convergent sequences, Duke Math. J. 30 (1963),417-422. Google Scholar

[12] 12. Sucheston, L., On existence of finite invariant measures, Math. Z. 86 (1964), 327-336. Google Scholar

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