Filtre moyennant et valeurs moyennes des capacités invariantes

Jean Moulin Ollagnier; Didier Pinchon

Bulletin de la Société Mathématique de France (1982)

  • Volume: 110, page 259-277
  • ISSN: 0037-9484

How to cite

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Ollagnier, Jean Moulin, and Pinchon, Didier. "Filtre moyennant et valeurs moyennes des capacités invariantes." Bulletin de la Société Mathématique de France 110 (1982): 259-277. <http://eudml.org/doc/87415>.

@article{Ollagnier1982,
author = {Ollagnier, Jean Moulin, Pinchon, Didier},
journal = {Bulletin de la Société Mathématique de France},
keywords = {mean values; invariant capacities; fixed point property; amenaning filter; asymptotically invariant; complete subadditivity; Emerson's conjecture; Markov-Kakutani theorem; Folner properties; strongly subadditive set functions},
language = {fre},
pages = {259-277},
publisher = {Société mathématique de France},
title = {Filtre moyennant et valeurs moyennes des capacités invariantes},
url = {http://eudml.org/doc/87415},
volume = {110},
year = {1982},
}

TY - JOUR
AU - Ollagnier, Jean Moulin
AU - Pinchon, Didier
TI - Filtre moyennant et valeurs moyennes des capacités invariantes
JO - Bulletin de la Société Mathématique de France
PY - 1982
PB - Société mathématique de France
VL - 110
SP - 259
EP - 277
LA - fre
KW - mean values; invariant capacities; fixed point property; amenaning filter; asymptotically invariant; complete subadditivity; Emerson's conjecture; Markov-Kakutani theorem; Folner properties; strongly subadditive set functions
UR - http://eudml.org/doc/87415
ER -

References

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  1. [1] EMERSON (W. R.). — Averaging strongly subadditive set functions in unimodular amenable groups I and II, Pac. J. Math., vol. 61, 1975, p. 391-400 et vol. 64, 1976, p. 353-368. Zbl0322.43012
  2. [2] EMERSON (W. R.) et GREENLEAF (F. P.). — Covering properties and Følner conditions for locally compact groups, Math. Zeit., vol. 102, 1967, p. 370-384. Zbl0184.36104MR36 #3912
  3. [3] FØLNER (E.). — On groups with full Banach mean value, Math. Scand., vol. 3, 1955, p. 243-254. Zbl0067.01203MR18,51f
  4. [4] GREENLEAF (F. P.). — Invariant means on topological groups, Van Nostrand Mathematical Studies, 1969. Zbl0174.19001MR40 #4776
  5. [5] KIEFFER (J. C.). — A generalized Shannon-McMillan theorem for the action of an amenable group on a probability space, Ann. of Prob., vol. 3, 1975, p. 1031-1037. Zbl0322.60032MR52 #14232
  6. [6] KIEFFER (J. C.). — A ratio limit theorem for a strongly subadditive set function in a locally compact amenable group, Pac. J. Math., vol. 61, 1975, p. 183-189. Zbl0315.43001MR53 #3594
  7. [7] MOULIN OLLAGNIER (J.) et PINCHON (D.). — Une nouvelle démonstration du théorème de Følner, C. R. Acad. Sc. Paris, t. 287, série A, 1978, p. 557-560. Zbl0391.28012MR80a:43004
  8. [8] MILNES (P.) et BONDAR (J. V.). — A simple proof of a covering property of locally compact groups, P.A.M.S., vol. 73, 1979, p. 117-118. Zbl0368.22001MR80d:43003

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