Ergodic theorems for linear operators on C ( X ) with strict topology

Jaroslav Mohapl

Mathematica Slovaca (1993)

  • Volume: 43, Issue: 5, page 579-592
  • ISSN: 0139-9918

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Mohapl, Jaroslav. "Ergodic theorems for linear operators on $C(X)$ with strict topology." Mathematica Slovaca 43.5 (1993): 579-592. <http://eudml.org/doc/34368>.

@article{Mohapl1993,
author = {Mohapl, Jaroslav},
journal = {Mathematica Slovaca},
keywords = {space of continuous functions; integral operator; kernel; ergodic theorem; locally convex topology; evolution equations},
language = {eng},
number = {5},
pages = {579-592},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Ergodic theorems for linear operators on $C(X)$ with strict topology},
url = {http://eudml.org/doc/34368},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Mohapl, Jaroslav
TI - Ergodic theorems for linear operators on $C(X)$ with strict topology
JO - Mathematica Slovaca
PY - 1993
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 43
IS - 5
SP - 579
EP - 592
LA - eng
KW - space of continuous functions; integral operator; kernel; ergodic theorem; locally convex topology; evolution equations
UR - http://eudml.org/doc/34368
ER -

References

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  1. CONWAY J. B., The strict topology and compactness in the space of measures, Bull. Amer. Math. Soc. 72 (1966), 75-78. (1966) Zbl0137.31503MR0187054
  2. CONWAY J. B., The strict topology and compactness in the space of measures II, Trans. Amer. Math. Soc. 129 (1969), 474-486. (1969) MR0206685
  3. FREMLIN D. H., GARLING D. J. H., HAYDON R. G., Bounded measures on topological spaces, Proc. London Math. Soc. (3) 25 (1972), 115-136. (1972) Zbl0236.46025MR0344405
  4. GIRSANOV I. V., Strongly Feller processes, (Russian), Teor. Veroyatnost. i Primenen. 5 (1960), 7-28. (1960) MR0137151
  5. HAS'MINSKI R. Z., Ergodic properties of recurrent diffusion processes and stabilization of the solution of the Cauchy problem for parabolic equations, (Russian), Teor. Veroyatnost. i Primenen. 5 (1960), 196-214. (1960) MR0133871
  6. KELLY J. L., NAMIOKA I., al., Linear Topological Spaces, Van Nostrand, Toronto, 1963. (1963) MR0166578
  7. LIGGET T. M., Interacting Particle Systems, Springer-Verlag, New York-Berlin-Heidelberg-Tokyo, 1985. (1985) MR0776231
  8. LOTZ H. P., Positive Linear Operators on Lp and the Doeblin Condition. Aspects of Positivity in Functional Analysis, Elsevier Science Publishers B.V., North-Holland, New York-Amsterdam, 1986. (1986) MR0859722
  9. MEYN S. P., Ergodic theorems for discrete time stochastic systems using a stochastic Lyapunov function, SIAM J. Control Optim. 27 (1989), 1409-1439. (1989) Zbl0681.60067MR1022436
  10. NUMMELIN E., General Irreducible Markov Chains and Non-Negative Operators, Cambridge University Press, Cambridge, 1984. (1984) Zbl0551.60066MR0776608
  11. YOSIDA K., Functional Analysis, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1965. (1965) Zbl0126.11504MR0350358
  12. VARADARJAN V. S., Measures on topological spaces, Mat. Sb. 55 (1961), 35-100. (1961) 
  13. WHEELER R. F., The strict topology, separable measures, and paracompactness, Pacific J. Math. 47 (1973), 287-302. (1973) Zbl0244.46028MR0341047
  14. WHEELER R. F., Weak and pointwise compactness in the space of bounded continuous functions, Trans. Amer. Math. Soc. 266 (1981), 515-530. (1981) Zbl0477.46016MR0617548

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