References
Chou, C.: On the size of the left invariant means on a semi-group. Proc. Amer. Math. Soc.23, 199–205 (1969)
Chou, C.: On topological invariant means on a locally compact group. Trans. Amer. Math. Soc.151, 443–456 1970)
Chou, C.: The exact cardinality of the set of invariant means on a group (to appear)
Granirer, E.: On amenable semigroups with a finite-dimensional set of invariant means I. Illinois J. Math.7, 32–48 (1963)
Granirer, E.: Criteria for compactness and for discreteness of locally amenable groups. Proc. Amer. Math. Soc.40, 615–624 (1973)
Greenleaf, F.P.: Invariant means on topological groups and their applications. Van Nostrand Math. Studies 16. New York: Van Nostrand 1969
Kuratowski, K.: Applications of the Baire-category method to the problem of independent sets. Fundamenta Math.81, 65–72 (1973)
Mycielski, J.: Independent sets in topological algebras. Fundamenta Math.55, 139–147 (1964)
Mycielski, J.: Almost every function is independent. Fundamenta Math.81, 43–48 (1973)
Rosenblatt, J.: Invariant means and invariant ideals inL ∞ (G) for a locally compact groupG. To appear in J. Functional Analysis
Rudin, W.: Invariant means onL ∞. Studia Math.44, 219–227 (1972)
Rudin, W.: Homomorphisms and translations inL ∞(G). Advances im Math.16, 72–90 (1975)
Wells, B.: Homomorphisms and translates of bounded functions. Duke Math.41, 35–39 (1974)
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Rosenblatt, J.M. Invariant means for the bounded measurable functions on a non-discrete locally compact group. Math. Ann. 220, 219–228 (1976). https://doi.org/10.1007/BF01431093
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DOI: https://doi.org/10.1007/BF01431093