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1998 | 69 | 3 | 217-234
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Markov operators on the space of vector measures; coloured fractals

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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.
  • Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland
  • Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland
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