Pointwise theorems for amenable groups

Electronic Research Announcements of the American Mathematical Society

Volumn 5, Issue 12, 1999, Pages 82-90

  Lindenstrauss, Elon ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

Amenable groups; Ergodic theorems; Pointwise convergence

Indexed keywords

EID: 85009829590     PISSN: None     EISSN: 10796762     Source Type: Journal    
DOI: 10.1090/S1079-6762-99-00065-7     Document Type: Article

References (13)

1. A. P. Calderon, A general ergodic theorem, Annals of Mathematics 58 (1953), no. 1, 182-191. MR 14:1071a
2. W. R. Emerson, The pointwise ergodic theorem for amenable groups, American Journal of Mathematics 96 (1974), no. 3, 472-478. MR 50:7403
3. W. R. Emerson and F. P. Greenleaf, Groups structure and the pointwise ergodic theorem for connected amenable groups, Advances in Math. 14 (1974), 153-172. MR 52:5867
4. A. del Junco and J. Rosenblatt, Counterexamples in ergodic theory and number theory, Math. Ann. 245 (1979), 185-197. MR 81d:10042
5. D. Ornstein and B. Weiss, The Shannon-McMillan-Breiman theorem for a class of amenable groups, Israel Journal of Mathematics 44 (1983), no. 1, 53-60. MR 85f:28018
6. D. Ornstein and B. Weiss, The Shannon-McMillan-Breiman theorem for countable parti- tions, unpublished, c. 1985, 4 pages.
7. D. Ornstein and B. Weiss, Entropy and isomorphism theorems for actions of amenable groups, Journal D'analyse Mathématique 48 (1987), 1-142. MR 88j:28014
8. A. Paterson, Amenability, Mathematical Surveys andMonographs, vol. 29, AmericanMath- ematical Society, Providence, Rhode Island, 1988. MR 90e:43001
9. D. Rudolph, Fundamentals of Measurable Dynamics Ergodic theory on Lebesgue spaces, Oxford University Press, New York, 1990. MR 92e:28006
10. A. Shulman, Maximal ergodic theorems on groups, Dep. Lit. NIINTI, No. 2184, 1988.
11. A. Tempelman, Ergodic theorems for general dynamical systems, Dokl. Akad. Nauk SSSR 176 (1967), no. 4, 790-793
12. English translation: Soviet Math. Dokl. 8 (1967), no. 5, 1213-1216. MR 36:2779
13. A. Tempelman, Ergodic theorems for group actions, informational and thermodynamical aspects, Kluwer Academic Publishers, Dordrecht, 1992. MR 94f:22007