We consider the family 𝓜 of measures with values in a reflexive Banach space. In 𝓜 we introduce the notion of a Markov operator and using an extension of the Fortet-Mourier norm we show some criteria of the asymptotic stability. Asymptotically stable Markov operators can be used to construct coloured fractals.
@article{bwmeta1.element.bwnjournal-article-apmv69z3p217bwm, author = {Karol Baron and Andrzej Lasota}, title = {Markov operators on the space of vector measures; coloured fractals}, journal = {Annales Polonici Mathematici}, volume = {69}, year = {1998}, pages = {217-234}, zbl = {0928.28003}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv69z3p217bwm} }
Karol Baron; Andrzej Lasota. Markov operators on the space of vector measures; coloured fractals. Annales Polonici Mathematici, Tome 69 (1998) pp. 217-234. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv69z3p217bwm/
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