Tchebyshev systems that cannot be transformed into Markov systems |
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| Authors: | Roland Zielke |
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| Institution: | (1) Lehrstuhl für Biomathematik der Universität Tübingen, Auf der Morgenstelle 28, BRD-7400 Tübingen, Deutschland |
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| Abstract: | The linear hull of a Tchebyshev system is called a Haar-space. A basis f1,...,fn of an n-dimensional Haar-space is called a Markov basis if f1,...,fi form a Tchebyshev system for each i=l,...,n. It is shown by suitable examples that for all n 3 there exist Haar-spaces without a Markov basis. |
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