Extremely amenable semigroups
HTML articles powered by AMS MathViewer
- by E. E. Granirer PDF
- Bull. Amer. Math. Soc. 72 (1966), 1028-1032
References
- Mahlon Day M., Ergodic theorems for Abelian semigroups, Trans. Amer. Math. Soc. 51 (1942), 399–412. MR 6614, DOI 10.1090/S0002-9947-1942-0006614-3
- Mahlon M. Day, Means for the bounded functions and ergodicity of the bounded representations of semi-groups, Trans. Amer. Math. Soc. 69 (1950), 276–291. MR 44031, DOI 10.1090/S0002-9947-1950-0044031-5
- Mahlon M. Day, Amenable semigroups, Illinois J. Math. 1 (1957), 509–544. MR 92128
- Mahlon M. Day, Fixed-point theorems for compact convex sets, Illinois J. Math. 5 (1961), 585–590. MR 138100
- Jacques Dixmier, Les moyennes invariantes dans les semi-groupes et leurs applications, Acta Sci. Math. (Szeged) 12 (1950), 213–227 (French). MR 37470 6. A. H. Frey Jr., Studies in amenable semigroups, Ph.D. Thesis, University of Washington, Seattle, Washington, 1960.
- Erling Følner, On groups with full Banach mean value, Math. Scand. 3 (1955), 243–254. MR 79220, DOI 10.7146/math.scand.a-10442
- E. Granirer, On amenable semigroups with a finite-dimensional set of invariant means. II, Illinois J. Math. 7 (1963), 49–58. MR 144198
- E. E. Granirer, On the range of an invariant mean, Trans. Amer. Math. Soc. 125 (1966), 384–394. MR 204551, DOI 10.1090/S0002-9947-1966-0204551-9 10. E. Hewitt and K. Ross, Abstract harmonic analysis, Springer, Berlin, 1963.
- S. P. Lloyd, A mixing condition for extreme left invariant means, Trans. Amer. Math. Soc. 125 (1966), 461–481. MR 209812, DOI 10.1090/S0002-9947-1966-0209812-5
- Theodore Mitchell, Constant functions and left invariant means on semigroups, Trans. Amer. Math. Soc. 119 (1965), 244–261. MR 193523, DOI 10.1090/S0002-9947-1965-0193523-8
- Theodore Mitchell, Fixed points and multiplicative left invariant means, Trans. Amer. Math. Soc. 122 (1966), 195–202. MR 190249, DOI 10.1090/S0002-9947-1966-0190249-2
Additional Information
- Journal: Bull. Amer. Math. Soc. 72 (1966), 1028-1032
- DOI: https://doi.org/10.1090/S0002-9904-1966-11629-4
- MathSciNet review: 0202875