The number of extensions of an invariant mean

Joseph Max Rosenblatt

Compositio Mathematica (1976)

  • Volume: 33, Issue: 2, page 147-159
  • ISSN: 0010-437X

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Rosenblatt, Joseph Max. "The number of extensions of an invariant mean." Compositio Mathematica 33.2 (1976): 147-159. <http://eudml.org/doc/89302>.

@article{Rosenblatt1976,
author = {Rosenblatt, Joseph Max},
journal = {Compositio Mathematica},
language = {eng},
number = {2},
pages = {147-159},
publisher = {Noordhoff International Publishing},
title = {The number of extensions of an invariant mean},
url = {http://eudml.org/doc/89302},
volume = {33},
year = {1976},
}

TY - JOUR
AU - Rosenblatt, Joseph Max
TI - The number of extensions of an invariant mean
JO - Compositio Mathematica
PY - 1976
PB - Noordhoff International Publishing
VL - 33
IS - 2
SP - 147
EP - 159
LA - eng
UR - http://eudml.org/doc/89302
ER -

References

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  1. [1] C. Chou: On the Size of the Left Invariant Means on a Semigroup. Proc. Amer. Math. Soc.23 (1969) 199-205. Zbl0188.19006MR247444
  2. [2] C. Chou: On the Topological Invariant Means on a Locally Compact Group. Trans. Amer. Math. Soc.151 (1970) 443-456. Zbl0202.14001MR269780
  3. [3] C. Chou: The Exact Cardinality of the Set of Invariant Means on a Group. Proc. Amer. Math.55 # 1 (1976) 103-106. Zbl0319.43006MR394036
  4. [4] E. Granirer: Criteria for Compactness and for Discreteness of Locally Compact Amenable Groups. Proc. Amer. Math. Soc.40 # 2 (1973) 615-624. Zbl0274.22009MR340962
  5. [5] F. Greenleaf: Invariant Means on Topological Groups and their Applications (Van Nostrand Math Studies 16)Van Nostrand, New York, 1955. Zbl0174.19001MR251549
  6. [6] E. Hewitt and K. Ross: Abstract Harmonic Analysis Vol. I. Springer-Verlag, New York, 1963. Zbl0213.40103MR551496
  7. [7] S. Kakutani and J. Oxtoby: Construction of a non-separable invariant extension of the Lebesgue space. Annals of Math. (2) 52 (1950) 580-590. Zbl0040.20901MR37335
  8. [8] K. Kuratowski: Applications of the Baire-category method to the Problem of Independent Sets. Fundamenta Math. 81 # 1 (1973) 65-72. Zbl0311.54036MR339092
  9. [9] J. Mycielski: Almost Every Function is Independent. Fundamenta Math. 81 # 1 (1973) 43-48. Zbl0311.54018MR339091
  10. [10] J. Rosenblatt: Invariant Means and Invariant Ideals in L∞(G) for a Locally Compact Group G. Journ. Func. Anal. 21 # 1 (1976) 31-51. Zbl0314.43002
  11. [11] J. Rosenblatt: Invariant means for the bounded measurable functions on a locally compact group. Math. Ann.220 (1976) 219-228. Zbl0305.43002MR397305
  12. [12] W. Rudin: Invariant Means on L∞. Studia Math.44 (1972) 219-227. Zbl0215.47004
  13. [13] W. Rudin: Homomorphisms and Translations in L∞(G). Advances in Math.16 (1975) 72-90. Zbl0297.22009
  14. [14] B. Wells: Homomorphisms and Translations of Bounded Functions. Duke Math.157 (1974) 35-39. Zbl0281.28004MR336238

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