The cardinality of the set of invariant means on a locally compact topological semigroup

Heneri A. M. Dzinotyiweyi

Compositio Mathematica (1985)

  • Volume: 54, Issue: 1, page 41-49
  • ISSN: 0010-437X

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Dzinotyiweyi, Heneri A. M.. "The cardinality of the set of invariant means on a locally compact topological semigroup." Compositio Mathematica 54.1 (1985): 41-49. <http://eudml.org/doc/89696>.

@article{Dzinotyiweyi1985,
author = {Dzinotyiweyi, Heneri A. M.},
journal = {Compositio Mathematica},
keywords = {locally compact topological semigroups; invariant means; weakly uniformly continuous functions},
language = {eng},
number = {1},
pages = {41-49},
publisher = {Martinus Nijhoff Publishers},
title = {The cardinality of the set of invariant means on a locally compact topological semigroup},
url = {http://eudml.org/doc/89696},
volume = {54},
year = {1985},
}

TY - JOUR
AU - Dzinotyiweyi, Heneri A. M.
TI - The cardinality of the set of invariant means on a locally compact topological semigroup
JO - Compositio Mathematica
PY - 1985
PB - Martinus Nijhoff Publishers
VL - 54
IS - 1
SP - 41
EP - 49
LA - eng
KW - locally compact topological semigroups; invariant means; weakly uniformly continuous functions
UR - http://eudml.org/doc/89696
ER -

References

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  1. [1] A.C. and J.W. Baker: Algebras of measures on a locally compact semigroup III. J. Lond. Math. Soc.4 (1972) 685-695. Zbl0232.43002MR306806
  2. [2] C. Chou: On the size of the set of left invariant means on a semigroup. Proc. Amer. Math. Soc.23 (1969) 199-205. Zbl0188.19006MR247444
  3. [3] C. Chou: On topologically invariant means on a locally compact group. Trans. Amer. Math. Soc.151 (1970) 443-456. Zbl0202.14001MR269780
  4. [4] C. Chou: Topologically invariant means on the von Neumann algebra (VN(G). Trans. Amer. Math. Soc.273 (1982), 207 (1982) 207-229. Zbl0507.22007MR664039
  5. [5] H.A.M. Dzinotyiweyi: Algebras of measures on C-distinguished topological semigroups. Proc. Camb. Philos. Soc.84 (1979) 323-336. Zbl0392.43001MR493158
  6. [6] H.A.M. Dzinotyiweyi: Algebras of functions and invariant means on semigroups. Math. Instituut, Katholieke Universiteit, Nijmegen, Report. 7807 (1978). Zbl0392.43001
  7. [7] H.A.M. Dzinotyweyi: Nonseparability of quotient spaces of function algebras on topological semigroups. Trans. Amer. Math. Soc.272 (1982) 223-235. Zbl0498.43004MR656487
  8. [8] E.E. Granirer: Exposed points of convex sets and weak sequential convergence. Memo Amer. Math. Soc.123 (1972). Zbl0258.46001MR365090
  9. [9] F. Greenleaf: Invariant means on topological groups and their applications, Van Nostrand, New York, 1969. Zbl0174.19001MR251549
  10. [10] E. Hewitt and K. Ross: Abstract harmonic analysis Vol. I. Springer-Verlag, New York1963. Zbl0213.40103MR551496
  11. [11] J.L. Kelley and I. Namioka: Linear topological spaces. D. van Nostrand, Princeton, New Jersey, London, 1963. Zbl0115.09902MR166578
  12. [12] M.M. Klawe: Dimensions of the sets of invariant means of semigroups. Ill J. Math.24 (1980) 233-243. Zbl0437.43008MR575064
  13. [13] T.S. Liu and A. Van Rooij: Invariant means on a locally compact group. Mon. fur Math.78 (1974) 356-359. Zbl0296.43003MR358218
  14. [14] A.L.T. Paterson: Amenability and locally compact semigroups. Mathematica Scandinavia42 (1978) 271-288. Zbl0396.43005MR512274
  15. [15] J.M. Rosenblatt: The number of extensions of an invariant mean. Comp. Math.33 (1976) 147-159. Zbl0335.43001MR435729

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