The exact cardinality of the set of invariant means on a group-Reference-Cited by-同舟云学术

The exact cardinality of the set of invariant means on a group

Published:1976 Issue:1 Volume:55 Page:103-106
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Chou Ching

Abstract

The purpose of this note is to show that if G G is an infinite amenable group then G G has exactly 2 2 | G | {2^{{2^{|G|}}}} invariant means where | G | |G| denotes the cardinality of G G .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1976-055-01/S0002-9939-1976-0394036-3/S0002-9939-1976-0394036-3.pdf

Reference8 articles.

1. On the size of the set of left invariant means on a semi-group;Chou, Ching;Proc. Amer. Math. Soc.,1969

2. On topologically invariant means on a locally compact group;Chou, Ching;Trans. Amer. Math. Soc.,1970

3. Amenable semigroups;Day, Mahlon M.;Illinois J. Math.,1957

4. Fixed-point theorems for compact convex sets;Day, Mahlon M.;Illinois J. Math.,1961

5. On amenable semigroups with a finite-dimensional set of invariant means. I;Granirer, E.;Illinois J. Math.,1963

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