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Uniform measures on topological groups. (English) Zbl 0491.43001

MSC:

43A05 Measures on groups and semigroups, etc.
22A10 Analysis on general topological groups
28C10 Set functions and measures on topological groups or semigroups, Haar measures, invariant measures

Citations:

Zbl 0258.46001
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References:

[1] I.A. Berezanskiĭ : Measures on uniform spaces and molecular measures , Trudy Moskov. Mat. Obšč. 19 (1968) 3-40. (Russian). · Zbl 0193.43102
[2] N. Bourbaki : Topologie générale, Chap. III (Groupes topologiques) , Hermann, Paris (1960). · Zbl 0102.27104
[3] C. Chou : The exact cardinality of the set of invariant means on a group , Proc. Amer. Math. Soc. 55 (1976) 103-106. · Zbl 0319.43006
[4] J.P.R. Christensen and J.K. Pachl : Measurable functionals on function spaces , Ann. Inst. Fourier (Grenoble) 31 (1981) 137-152. · Zbl 0437.46022
[5] J.B. Cooper and W. Schachermayer : Uniform measures and co-Saks spaces , Proc. Internat. Seminar Functional Analysis, Rio de Janeiro (1978). · Zbl 0462.46014
[6] A. Deaibes : Espaces uniformes et espaces de mesures , Publ. Dép. Math (Lyon) 12-4 (1975) 1-166. · Zbl 0329.54023
[7] V.P. Fedorova : Linear functionals and the Daniell integral on spaces of uniformly continuous functions , Mat. Sb. 74(116) (1967) 191-201. (Russian). · Zbl 0192.47104
[8] Z. Frolík : Recent development of theory of uniform spaces , Springer-Verlag Lecture Notes in Mathematics 609 (1977) 98-108. · Zbl 0359.54020
[9] L. Gillman and M. Jerison : Rings of continuous functions , Van Nostrand, Princeton (1960). · Zbl 0093.30001
[10] E.E. Granirer : Exposed points of convex sets and weak sequential convergence , Mem. Amer. Math. Soc. 123 (1972). · Zbl 0258.46001
[11] M. Klawe : On the dimension of left invariant means and left thick subsets , Trans. Amer. Math. Soc. 231 (1977) 507-518. · Zbl 0371.43005
[12] L. Le Cam : Note on a certain class of measures , (unpublished). · Zbl 0137.12103
[13] J.K. Pachl : Measures as functionals on uniformly continuous functions , Pacific J. Math. 82 (1979) 515-521. · Zbl 0419.28006
[14] H.H. Schaefer : Topological vector spaces , Macmillan, New York (1966). · Zbl 0141.30503
[15] A. Weil : L’intégration dans les groupes topologiques et ses applications , Hermann, Paris (1940). · Zbl 0063.08195
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