Asymptotic periodicity of Markov operators on signed measures

Jozef Komorník; Erik G. F. Thomas

Mathematica Bohemica (1991)

  • Volume: 116, Issue: 2, page 174-180
  • ISSN: 0862-7959

Abstract

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A new criterion of asymptotic periodicity of Markov operators on L 1 , established in [3], is extended to the class of Markov operators on signed measures.

How to cite

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Komorník, Jozef, and Thomas, Erik G. F.. "Asymptotic periodicity of Markov operators on signed measures." Mathematica Bohemica 116.2 (1991): 174-180. <http://eudml.org/doc/29292>.

@article{Komorník1991,
abstract = {A new criterion of asymptotic periodicity of Markov operators on $L^1$, established in [3], is extended to the class of Markov operators on signed measures.},
author = {Komorník, Jozef, Thomas, Erik G. F.},
journal = {Mathematica Bohemica},
keywords = {signed measure; band; Markov operator; asymptotic periodicity of Markov operators; quasi-constructive Markov operator; space of signed measures on a $\sigma $-algebra; asymptotic periodicity of Markov operators; quasi-constructive Markov operator; band; space of signed measures on a -algebra},
language = {eng},
number = {2},
pages = {174-180},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Asymptotic periodicity of Markov operators on signed measures},
url = {http://eudml.org/doc/29292},
volume = {116},
year = {1991},
}

TY - JOUR
AU - Komorník, Jozef
AU - Thomas, Erik G. F.
TI - Asymptotic periodicity of Markov operators on signed measures
JO - Mathematica Bohemica
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 116
IS - 2
SP - 174
EP - 180
AB - A new criterion of asymptotic periodicity of Markov operators on $L^1$, established in [3], is extended to the class of Markov operators on signed measures.
LA - eng
KW - signed measure; band; Markov operator; asymptotic periodicity of Markov operators; quasi-constructive Markov operator; space of signed measures on a $\sigma $-algebra; asymptotic periodicity of Markov operators; quasi-constructive Markov operator; band; space of signed measures on a -algebra
UR - http://eudml.org/doc/29292
ER -

References

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  1. N. Bourbaki, Intégration, Hermann. Paгis, 1969. (1969) Zbl0189.14201
  2. N. Dunford J. T. Schwarz, Linear operators, Inteгscience Publishers, New York 1958. (1958) 
  3. J. Komorník, 10.2748/tmj/1178228533, Tôhoku Math. Ј., 38 (1986), 15-27. (1986) MR0826761DOI10.2748/tmj/1178228533
  4. J. Komorník A. Lasota, Asymptotic decomposition of Markov operators, Bull. Pol. Ac. Math. 35 (1987), З21-З27. (1987) MR0919219
  5. A. Lasota M. C. Mackey, Pгobabilistic Pгopeгties of Deterministic Systems, Cambridge University Press, Cambridge 1985. (1985) MR0832868

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