Uniform measures on topological groups

Jan K. Pachl

Compositio Mathematica (1982)

  • Volume: 45, Issue: 3, page 385-392
  • ISSN: 0010-437X

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Pachl, Jan K.. "Uniform measures on topological groups." Compositio Mathematica 45.3 (1982): 385-392. <http://eudml.org/doc/89542>.

@article{Pachl1982,
author = {Pachl, Jan K.},
journal = {Compositio Mathematica},
keywords = {precompact group; weak sequential completeness; nonzero invariant uniform measure; set of left-invariant means},
language = {eng},
number = {3},
pages = {385-392},
publisher = {Martinus Nijhoff Publishers},
title = {Uniform measures on topological groups},
url = {http://eudml.org/doc/89542},
volume = {45},
year = {1982},
}

TY - JOUR
AU - Pachl, Jan K.
TI - Uniform measures on topological groups
JO - Compositio Mathematica
PY - 1982
PB - Martinus Nijhoff Publishers
VL - 45
IS - 3
SP - 385
EP - 392
LA - eng
KW - precompact group; weak sequential completeness; nonzero invariant uniform measure; set of left-invariant means
UR - http://eudml.org/doc/89542
ER -

References

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  1. [1] I.A. Berezanskiĭ: Measures on uniform spaces and molecular measures, Trudy Moskov. Mat. Obšč.19 (1968) 3-40. (Russian). Zbl0193.43102MR236338
  2. [2] N. Bourbaki: Topologie générale, Chap. III (Groupes topologiques), Hermann, Paris (1960). 
  3. [3] C. Chou: The exact cardinality of the set of invariant means on a group, Proc. Amer. Math. Soc.55 (1976) 103-106. Zbl0319.43006MR394036
  4. [4] J.P.R. Christensen and J.K. Pachl: Measurable functionals on function spaces, Ann. Inst. Fourier (Grenoble) 31 (1981) 137-152. Zbl0437.46022MR617244
  5. [5] J.B. Cooper and W. Schachermayer: Uniform measures and co-Saks spaces, Proc. Internat. Seminar Functional Analysis, Rio de Janeiro (1978). Zbl0462.46014
  6. [6] A. Deaibes: Espaces uniformes et espaces de mesures, Publ. Dép. Math (Lyon) 12-4 (1975) 1-166. Zbl0329.54023MR480926
  7. [7] V.P. Fedorova: Linear functionals and the Daniell integral on spaces of uniformly continuous functions, Mat. Sb.74(116) (1967) 191-201. (Russian). Zbl0192.47104MR218518
  8. [8] Z. Frolík: Recent development of theory of uniform spaces, Springer-Verlag Lecture Notes in Mathematics609 (1977) 98-108. Zbl0359.54020MR500844
  9. [9] L. Gillman and M. Jerison: Rings of continuous functions, Van Nostrand, Princeton (1960). Zbl0093.30001MR116199
  10. [10] E.E. Granirer: Exposed points of convex sets and weak sequential convergence, Mem. Amer. Math. Soc.123 (1972). Zbl0258.46001MR365090
  11. [11] M. Klawe: On the dimension of left invariant means and left thick subsets, Trans. Amer. Math. Soc.231 (1977) 507-518. Zbl0371.43005MR447970
  12. [12] L. Le Cam: Note on a certain class of measures, (unpublished). 
  13. [13] J.K. Pachl: Measures as functionals on uniformly continuous functions, Pacific J. Math.82 (1979) 515-521. Zbl0419.28006MR551709
  14. [14] H.H. Schaefer: Topological vector spaces, Macmillan, New York (1966). Zbl0141.30503MR193469
  15. [15] A. Weil: L'intégration dans les groupes topologiques et ses applications, Hermann, Paris (1940). Zbl0063.08195JFM66.1205.02

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