Geodesic
Asymptotic periodicity of Markov operators on signed measures
Mathematica Bohemica, Tome 116 (1991) no. 2, pp. 174-180
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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.
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.
DOI : 10.21136/MB.1991.126138
Classification : 28A33, 28A99, 28D05, 46E27, 47B55, 47B60, 47B65
Keywords: signed measure; band; Markov operator; asymptotic periodicity of Markov operators; quasi-constructive Markov operator; space of signed measures on a $\sigma$-algebra 
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Komorník, Jozef; Thomas, Erik G. F. Asymptotic periodicity of Markov operators on signed measures. Mathematica Bohemica, Tome 116 (1991) no. 2, pp. 174-180. doi: 10.21136/MB.1991.126138

[1] N. Bourbaki: Intégration. Hermann. Paгis, 1969. | Zbl

[2] N. Dunford J. T. Schwarz: Linear operators. Inteгscience Publishers, New York 1958.

[3] J. Komorník: Asymptotic periodicity of the iterates of Markov operators. Tôhoku Math. Ј., 38 (1986), 15-27. | DOI | MR

[4] J. Komorník A. Lasota: Asymptotic decomposition of Markov operators. Bull. Pol. Ac. Math. 35 (1987), З21-З27. | MR

[5] A. Lasota M. C. Mackey: Pгobabilistic Pгopeгties of Deterministic Systems. Cambridge University Press, Cambridge 1985. | MR

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