On Topologically Invariant Means on a Locally Compact Group

  title={On Topologically Invariant Means on a Locally Compact Group},
  author={C. Chou and Raimi},
Let J( be the set of all probability measures on ßN. Let G be a locally compact, noncompact, amenable group. Then there is a one-one affine mapping of J( into the set of all left invariant means on L"(G). Note that Jt is a very big set. If we further assume G to be a-compact, then we have a better result : The set Jt can be embedded affinely into the set of two-sided topologically invariant means on L"(G). We also give a structure theorem for the set of all topologically left invariant means… CONTINUE READING


Publications referenced by this paper.
Showing 1-10 of 12 references

Invariant means on topological groups and their applications

F. D. Greenleaf

Minimal sets and ergodic measures for ßN\N

C. Chou
Illinois J. Math • 1969

Covering properties and Feiner conditions for locally compact groups

W. R. Emerson, F. P. Greenleaf
Math. Z • 1967

Means and Feiner condition on locally compact groups

A. Hulanicki
Studia Math • 1966

Felner's conditions for amenable semi-groups

I. Namioka
Math. Scand • 1964

On amenable semigroups with a finite-dimensional set of invariant means

E. Granirer
I, Illinois J. Math • 1963

Luthar, Uniqueness of the invariant mean on Abelian topological semigroups

I S.
Trans. Amer. Math. Soc • 1962

Uniform continuity and compactness in topological groups

J. M. Kister
Proc. Amer. Math. Soc • 1962

Jerison, Rings of continuous functions, University Series in Higher Math

M. L. Gillman
MR • 1960

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