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

ISSN: 1303-5991
Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 1948
Yayıncı: Ankara Üniversitesi

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,

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 : erkursun.ozcan@hacettepe.edu.tr