The ergodic theory of positive operators on continuous functions

S. R. Foguel

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1973)

  • Volume: 27, Issue: 1, page 19-51
  • ISSN: 0391-173X

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Foguel, S. R.. "The ergodic theory of positive operators on continuous functions." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 27.1 (1973): 19-51. <http://eudml.org/doc/83629>.

@article{Foguel1973,
author = {Foguel, S. R.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {1},
pages = {19-51},
publisher = {Scuola normale superiore},
title = {The ergodic theory of positive operators on continuous functions},
url = {http://eudml.org/doc/83629},
volume = {27},
year = {1973},
}

TY - JOUR
AU - Foguel, S. R.
TI - The ergodic theory of positive operators on continuous functions
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1973
PB - Scuola normale superiore
VL - 27
IS - 1
SP - 19
EP - 51
LA - eng
UR - http://eudml.org/doc/83629
ER -

References

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  1. [1] Dunford N., and Schwartz, J.T., Linear operators Parte I. Interscience Ptiblisbers, New York, 1958. Zbl0084.10402
  2. [2] Yosida K., and Hewitt, E., Finitely additive rzeasures, Trans. Amer. Math. Soc.72, 46-66 (1952). Zbl0046.05401MR45194
  3. [3] Neveu, J., Mathematical foundations of the calculus of piobability, Holden-Day, San Francisco. Zbl0137.11301
  4. [1] Foguel, S.R., Ergodic decorrzposition of a topologioal space, Israel J. of Math. vol. 7 (1969) 164-167. Zbl0179.08302MR249570
  5. [2] Horowitz S., Markov processes on a locally compact 8pac6, to be published. 
  6. [3] Lin, M., Conservative Markov processes on a topological space. Israel J. of Math. Zbl0219.60005MR265559
  7. [4] Meyer, P.A., Theoi-io ergodiquo et potentiels, Annales de l'istitute Fourier(Grenoble) Vol. 15, 1, 89-96 (1965). MR200413
  8. [1] Chung, K.L., The general theory of Markov processes aocording to Doeblin, Zeitschrift fur Wahrscheinlichkeitstheorie und Verwandte Gebiete, Band 2 (1963-68), pp. 230-254. Zbl0119.34604MR166835
  9. [2] Foguel, S.R., Ergodic decompositdon of a topological space, Israel J. of Nath. Zbl0179.08302
  10. [3] Horowitz, S., Markov processes on a locally compact space, Israel J. of Math, 7 (1969), 311-324. Zbl0216.47102MR264759
  11. [4] Kelley, J.L., General topology, D. Van Nostrand Co., New York, 1955. Zbl0066.16604MR70144
  12. [5] Lin, M., Conservative Markov processes on a topological space, Israel J. of Math.8 (1970), 165-186. Zbl0219.60005MR265559
  13. [1] Ffogufl, S.R., Existence of invariant measures for Markov prooesses, Proe. Amer. Math. Soc.13, 833-838 (1962). Zbl0126.33901MR145590
  14. [2] Foguel, S.R., Existenoe of invariant measures for Markov processes II. Proc. Amer. Math. Soc.17, 387-389 (1966). Zbl0168.16405MR193673
  15. [3] Foguel, S.R., Positive operators on C (X), to appear in the Proc. Amer. Math. Soc. [4] Lin, M., Conservative Markov processes on a topological space, hrael J. of Math. MR243570
  16. [1] Halmos, P.R., Measure theorem, Van Nostrand, 1950. Zbl0040.16802MR33869
  17. [2] Lin M., Conservatiroa Markov processes on a topological space, Israel. J. of Math.8 (1970), 165-186. Zbl0219.60005MR265559
  18. [1] Foguel, S.R., Ratio limit theorems for Markov processes, Israel J. of Math., vol. 7, (1969). Zbl0235.60069MR260017
  19. [2] Kingman, J.F.C. and Orey, S., Ratio limit theorems for Markov chains, Proc. Amer. Math. Soc.15, 907-910 (1964). Zbl0131.16701MR173290
  20. [3] Lin, M., Invariant measures and ratio limit theorems for Mat-kovproce88e8, to be published. 

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