ArticleOriginal scientific text
Title
Markov operators on the space of vector measures; coloured fractals
Authors 1, 1
Affiliations
- Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland
Abstract
We consider the family of measures with values in a reflexive Banach space. In 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.
Keywords
vector measures, Fortet-Mourier norm, Markov operators, asymptotic stability, iterated function systems
Bibliography
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Pages:
217-234
Main language of publication
English
Received
1997-05-19
Published
1998
Exact and natural sciences