Le calcul sur les caractères de l’algèbre M ( G ) et le problème « μ * L 1 fermé ?»

Jean-François Méla

Séminaire Bourbaki (1978-1979)

  • Volume: 21, page 151-169
  • ISSN: 0303-1179

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Méla, Jean-François. "Le calcul sur les caractères de l’algèbre $M(G)$ et le problème «$\mu * L^1$ fermé ?»." Séminaire Bourbaki 21 (1978-1979): 151-169. <http://eudml.org/doc/109933>.

@article{Méla1978-1979,
author = {Méla, Jean-François},
journal = {Séminaire Bourbaki},
keywords = {ideals of measure algebras},
language = {fre},
pages = {151-169},
publisher = {Springer-Verlag},
title = {Le calcul sur les caractères de l’algèbre $M(G)$ et le problème «$\mu * L^1$ fermé ?»},
url = {http://eudml.org/doc/109933},
volume = {21},
year = {1978-1979},
}

TY - JOUR
AU - Méla, Jean-François
TI - Le calcul sur les caractères de l’algèbre $M(G)$ et le problème «$\mu * L^1$ fermé ?»
JO - Séminaire Bourbaki
PY - 1978-1979
PB - Springer-Verlag
VL - 21
SP - 151
EP - 169
LA - fre
KW - ideals of measure algebras
UR - http://eudml.org/doc/109933
ER -

References

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  1. [1] W. Rudin - Fourier Analysis on groups, Interscience Tracts12. Zbl0107.09603
  2. [2] Yu.A. Šreider - The structure of maximal ideals in rings of measures with convolution, Mat. Sbornik N.S., 27(69), (1950), 297-318. [A.M.S. Transl.81(1953).] MR38567
  3. [3] Yu.A. Šreider - On an example of a generalized character, Mat. Sbornik N.S., 29(71), (1951), 419-426. MR46575
  4. [4] E. Hewitt and S. Kakutani - A class of multiplicative linear functionals on the measure algebra of a locally compact abelian group, Ill. J. Math., 4(1960), 553-574. Zbl0100.11803MR123198
  5. [5] E. Hewitt and S. Kakutani - Some multiplicative linear functionals on M(G) , Trans. Amer. Math. Soc., 134(1968), 289-296. 
  6. [6] J.L. Taylor - Measure Algebras, C.B.M.S., 16(1973). MR427949
  7. [7] G. Brown and W. Moran - Bernoulli Measure Algebras, Acta Math., 132(1974), 77-109. Zbl0278.43004MR417694
  8. [8] G. Brown - Riesz products and generalized characters, Proc. London Math. Soc. (3), 30(1975), 209-238. Zbl0325.43003MR372530
  9. [9] I. Glicksberg - When is μ * L1 closed ?Trans. A.M.S., 160(1971). Zbl0241.43005
  10. [10] I. Glicksberg - Fourier-Stieltjes transforms with an isolated value. Conférence on Harmonic Analysis, Maryland (1971), Lecture Notes in Math.266, Springer-Verlag. Zbl0265.43006MR394050
  11. [11] B. Host et F. Parreau - Sur un problème de Glicksberg : les idéaux fermés de type fini de M(G) , Ann. Inst. Fourier, t. 38, fasc. 3 (1978), 143-164. Zbl0368.43001MR511819
  12. [12] S. Kwapien and Pelczynski - Absolutely summing operators and translation invariant spaces of functions on compact abelian groups (à paraître). Zbl0435.43002
  13. [13] C.F. Dunkl and D.E. Ramirez - Bounded projections on Fourier-Stieltjes transforms, Proc. A.M.S., n° 1 (1972). Zbl0242.43007MR288520
  14. [14] Séminaire sur l'Analyse Harmonique des mesures (Villetaneuse1978), à paraître. 
  15. [15] J.-F. Méla - Mesures ε-idempotentes de norme bornée, à paraître. Zbl0503.43004
  16. [16] K. De Leeuw and S. Katznelson - The two sides of a Fourier-Stieltjes transform and almost idempotent measures, Israel J. Math., (1970), 213-229. Zbl0198.47901MR275060
  17. [17] C. Graham, B. Host, F. Parreau - Sur les supports des transformées de Fourier-Stieltjes, à paraître. Zbl0474.43003
  18. [18] C. Graham, B. Host, F. Parreau - The interior of the Šilov boundary of M(G) is trivial, à paraître. Zbl0445.46039
  19. [19] B. Host, F. Parreau - Mesures presque-idempotentes et progressives arithmétiques; C.R. Acad. Sc., Série A (1978), t. 287, 629-631 Zbl0396.43002MR514542

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