STABILITY AND LOWER-BOUND FUNCTIONS OFC0- MARKOV SEMIGROUPS ON KB-SPACES

Year 2018, Volume: 67 Issue: 1, 242 - 247, 01.02.2018

Nazife Özcan Erkurşun

https://doi.org/10.1501/Commua1_0000000846

Cited By: 2

Abstract

In this paper, we investigate the relation between stability andlower-bound functions of Markov C0-semigroups on KB-spaces

Keywords

Markov operator, C0-semigroup, KB-space, asymptotic stability, lower-bound function, mean lower-bound function

References

• Alpay, S., A. Binhadjah, E. Yu Emelyanov, Z. Ercan, Mean ergodicity of positive operators in KB-spaces, J. Math. Anal. Appl. 323 (1) (2006) 371 – 378.
• Doeblin, W., Elements dune theorie generale des chaines simples constantes de Markov, Ann. Ecole Norm. 57 (1940) 61-111. [3] Erkur¸sun Özcan, N., Asymptotic behavior of operator sequences on KB-spaces, arXiv:1605.03650
• Emel’yanov, E., M. P. H. Wolğ, Mean lower bounds for Markov operators. Ann. Polon. Math. 83 (2004) 11–19.
• Hawke, P., Markov Operators on Banach Lattices, Thesis for the degree of Master of Science. School of Mathematics, University of the Witwatersrand, South Africa, 2006.
• Lasota, A., M. C. Mackey, Chaos, Fractals and Noise. Stochastics Aspect of Dynamics, second edition, Appl. Math. Sci. 97 Springer-Verlag, New York, xiv + 472 pp 1994.
• Räbiger, F., Attractors and asymptotic periodicity of positive operators on Banach lattices, Forum Math. 7 (6) (1995) 665–683.
• Schaefer, H. H., Banach Lattices and Positive Operators, Grundlehren Math. Wiss.; Band 215, Springer-Verlag, New York, 1974. Current address : Department of Mathematics, Hacettepe University, Ankara, Turkey, 06800 E-mail address : [e-mail]