Operators on Spaces of Functions and Measures. Vector Invariant (Fractal) Measures

We consider a general schema involving measure spaces, contractions and linear and continuous operators. Within the framework of this schema we use our sesquilinear uniform integral and introduce some integral operators on continuous vector function spaces, which lead us to operators on spaces of ve...

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Bibliographic Details
Published in:Resultate der Mathematik 2018-12, Vol.73 (4), Article 139
Main Authors: Chiţescu, Ion, Ioana, Loredana, Miculescu, Radu, Niţă, Lucian
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:We consider a general schema involving measure spaces, contractions and linear and continuous operators. Within the framework of this schema we use our sesquilinear uniform integral and introduce some integral operators on continuous vector function spaces, which lead us to operators on spaces of vector measures. Using these last operators, we generalize the Markov operators, obtaining via contractions vector invariant (fractal) measures. Concrete examples are provided.
ISSN:1422-6383
1420-9012
DOI:10.1007/s00025-018-0903-9