On subinvariant measures for positive operators in L1

Antoine Brunel; Shlomo Horowitz; Michael Lin

Annales de l'I.H.P. Probabilités et statistiques (1993)

  • Volume: 29, Issue: 1, page 105-117
  • ISSN: 0246-0203

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Brunel, Antoine, Horowitz, Shlomo, and Lin, Michael. "On subinvariant measures for positive operators in L1." Annales de l'I.H.P. Probabilités et statistiques 29.1 (1993): 105-117. <http://eudml.org/doc/77446>.

@article{Brunel1993,
author = {Brunel, Antoine, Horowitz, Shlomo, Lin, Michael},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {existence of an invariant strictly positive element for a nonnegative operator; subinvariant measures of positive operators},
language = {eng},
number = {1},
pages = {105-117},
publisher = {Gauthier-Villars},
title = {On subinvariant measures for positive operators in L1},
url = {http://eudml.org/doc/77446},
volume = {29},
year = {1993},
}

TY - JOUR
AU - Brunel, Antoine
AU - Horowitz, Shlomo
AU - Lin, Michael
TI - On subinvariant measures for positive operators in L1
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1993
PB - Gauthier-Villars
VL - 29
IS - 1
SP - 105
EP - 117
LA - eng
KW - existence of an invariant strictly positive element for a nonnegative operator; subinvariant measures of positive operators
UR - http://eudml.org/doc/77446
ER -

References

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  1. [B1] A. Brunel, Sur quelques problèmes de la théorie ergodique ponctuelle, Thèse, Univ. of Paris, 1966. 
  2. [B2] A. Brunel, Sur les Sommes d'itérés d'un opérateur positif, Springer, Lecture Notes in Math., Vol. 532, 1976, pp. 19-34. Zbl0336.47004MR512672
  3. [BH] A. Brunel and S. Horowitz, Invariant Measures for Positive Operators, Unpublished, preliminary preprint, 1971. 
  4. [BS] A. Brunel and L. Sucheston, Sur l'existence d'éléments invariants dans les treillis de Banach, C. R. Acad. Sci. Paris, T. 300, Series I, 1985, p. 59-62. Zbl0603.60007MR777610
  5. [DL] Y. Derriennic and M. Lin, On Invariant Measures and Ergodic Theorems for Positive Operators, J. Functional Analysis, Vol. 13, 1973, pp. 252-267. Zbl0262.28011MR355001
  6. [H] S. Horowitz, Transition Probabilites and Contractions of L∞, Z. Wahrscheinlichkeitstheorie verw. Geb., Vol. 24, 1972, pp. 263-274. Zbl0228.60028MR331516
  7. [I Mo] A. Ionescu-Tulcea and M. Moretz, Ergodic Properties of Semi-Markovian Operators on the Z1-Part, Z. Wahrscheinlichkeitstheorie verw. Geb., Vol. 13, 1969, pp. 119-122. Zbl0221.60058MR252603
  8. [K] U. Krengel, Ergodic Theorems, De Gruyter, Berlin, New York, 1985. Zbl0575.28009MR797411
  9. [M] P.A. Meyer, Probabilités et Potentiel, Hermann, Paris, 1966. Zbl0138.10402MR205287
  10. [O] D. Ornstein, The Sums of the Iterates of a Positive Operator, Advances in Probability, Vol. 2, 1970, pp. 85-115. Zbl0321.28013MR286977
  11. [S] L. Sucheston, On the Ergodic Theorem for Positive Operators I, Z. Wahrscheinlichkeitstheorie verw. Geb., Vol. 8, 1967, pp. 1-11. Zbl0175.05103MR213510
  12. [Sa] R. Sato, Positive Operators and the Ergodic Theorem, Pacific J., Vol. 76, 1978, pp. 215-219. Zbl0352.47004MR480945

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