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Integral representation of normalized weak Markov systems. (English) Zbl 0749.41033

The author gives a necessary and sufficient condition for the existence of an integral representation of weak Markov systems. This theorem is a generalization of results obtained by R. A. Zalik [ibid. 58, No. 1, 1-11 (1989; Zbl 0688.41038)] and R. Zielke [ibid. 44, 30-42 (1985; Zbl 0584.41013)].

MSC:

41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
41A50 Best approximation, Chebyshev systems
Full Text: DOI

References:

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