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On the Semigroup of Probability Measures of a Locally Compact Semigroup II

Published online by Cambridge University Press:  20 November 2018

James C. S. Wong
James C. S. Wong*
Affiliation:
Department of Mathematics And Statistics, The University Of Calgary, Alberta, Canada
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Abstract

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This is a sequel to the author's paper "On the semigroup of probability measures of a locally compact semigroup." We continue to investigate the relationship between amenability of spaces of functions and functionals associated with a locally compact semigroups S and its convolution semigroup MO(S) of probability measures and fixed point properties of actions of S and MO(S) on compact convex sets.

Keywords

43A0722A20
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 30 , Issue 3 , 01 September 1987 , pp. 273 - 281
Copyright
Copyright © Canadian Mathematical Society 1987

References

1. Argabright, , Invariant means and fixed points, A sequel to Mitchell's paper. Trans. Amer. Math. Soc. 130(1968), pp. 1277–130.Google Scholar
2. Berglund, J.F., Junghenn, H.D. and Milnes, P., Compact right topological semigroups and generalisations of almost periodicity, lecture notes in mathematics. Springer-Verlag, Berlin Heidelbert, New York 1978.Google Scholar
3. Day, M.M., Fixed point theorems for compact convex sets. 111. J. Math. 5 (1961), pp. 585 — 590.Google Scholar
4. Day, M.M., Correction to my paper “Fixed point theorems for compact convex sets“, 111. J. Math. 8(1964), p. 713.Google Scholar
5. Ganeson, S., On amenability of the semigroup of probability measures on topological groups. Ph.D. Thesis, SUNY at Albany, 1983.Google Scholar
6. Ganeson, S., P-amenable locally compact groups. To appear.Google Scholar
7. Glickberg, , Weak compactness and separate continuity. Pacific J. Math. 11 (1961), pp. 205 — 214.Google Scholar
8. Greenleaf, F.P., Invariant means on topological groups and their applications. Van Nostrand, Princeton, N.J., 1969.Google Scholar
9. Hewitt, E. and Ross, K.A., Abstract harmonic analysis I. Springer-Verlag Berlin, 1963.Google Scholar
10. Kharaghani, H., Invariant means on topological semigroups. Ph.D. Thesis, University of Calgary, 1974.Google Scholar
11. Lau, A., Invariant means on almost periodic functions and fixed point properties. Rocky Mountain J. Math. 3(1973), pp. 6999–76.Google Scholar
12. Mitchell, T., Function algebras, means and fixed points. Trans. Amer. Math. Soc. 130 (1968), pp. 117–126.Google Scholar
13. Mitchell, T., Topological semigroups and fixed points. 111. J. Math. 14 (1970), pp. 630–641.Google Scholar
14. Rickert, N.W., Amenable groups and groups with the fixed point property. Trans. Amer. Math. Soc. 127(1967), pp. 2210–232.Google Scholar
15. Williamson, J., Harmonic analysis on semigroups. J. London Math. Soc. 41 (1967), pp. 1—41.Google Scholar
16. Wong, James C. S., Topological invariant means and locally compact groups and fixed points. Proc. Amer. Math. Soc. 27 (1971), pp. 572–578.Google Scholar
17. Wong, James C. S., Invariant means on locally compact semigroups. Proc. Amer. Math. Soc. 31 (1972), pp. 39–45.Google Scholar
18. Wong, James C. S., Topological semigroups and representations. Trans. Amer. Math. Soc. 200 (1974), pp. 89–109.Google Scholar
19. Wong, James C. S., Convolution and separate continuity. Pacific J. Math. 75 (1978) pp. 601 -611.Google Scholar
20. Wong, James C. S., Uniform semigroups and fixed point properties. To appear.Google Scholar
21. Wong, James C. S., On the semigroup of probability measures of a locally compact semigroup. To appear.Google Scholar