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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Extremely amenable semigroups

Author(s): E. E. Granirer
Journal: Bull. Amer. Math. Soc. 72 (1966), 1028-1032.
MathSciNet review: 0202875
Retrieve article in: PDF

References | Additional information

References:

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M. M. Day, Ergodic theorems for abelian semigroups, Trans. Amer. Math. Soc. 51 (1942), 399-412. MR 6614
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M. M. Day, Means for the bounded functions and ergodicity of the bounded representations, Trans. Amer. Math. Soc. 69 (1950), 276-291. MR 44031
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M. M. Day, Amenable semigroups, Illinois J. Math. 1 (1957), 509-544. MR 92128
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M. M. Day, Fixed point theorems for compact convex sets, Illinois J. Math. 5 (1961), 585-590. MR 138100
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J. Dixmier, Les moyennes invariantes dans les semigroupes et leur applications, Acta. Sci. Math. (Szeged) 12 (1950), 213-227. MR 37470
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A. H. Frey Jr., Studies in amenable semigroups, Ph.D. Thesis, University of Washington, Seattle, Washington, 1960.
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E. Folner, On groups with full Banach mean values, Math. Scand. 3 (1955), 243-254. MR 79220
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E. Granirer, On amenable semigroups with a finite dimensional set of invariant means. II, Illinois J. Math. 7 (1963), 49-58. MR 144198
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E. Granirer, On the range of an invariant mean, Trans. Amer. Math. Soc. 125 (1966). MR 204551
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E. Hewitt and K. Ross, Abstract harmonic analysis, Springer, Berlin, 1963.
11.
S. P. Lloyd, A mixing condition for extreme left invariant means, (to appear). MR 209812
12.
T. Mitchell, Constant functions and left invariant means on semigroups, Trans. Amer. Math. Soc. 119 (1965), 244-261. MR 193523
13.
T. Mitchell, Fixed points and left invariant means. Trans. Amer. Math. Soc. 122 (1966), 195-202. MR 190249


Additional Information:

DOI: 10.1090/S0002-9904-1966-11629-4
PII: S 0002-9904(1966)11629-4




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