Abstract
It is shown that Karlin's theorem about snakes remains true for polynomials in any weak Cartesian system of continuous functions on a compact set without any change in the statement, and the existence part is valid for arbitrary weak Chebyshev systems.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 3, pp. 315–321, March, 1995.
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Davydov, O.V. A theorem about snakes for weak Cartesian systems. Ukr Math J 47, 369–375 (1995). https://doi.org/10.1007/BF01056298
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DOI: https://doi.org/10.1007/BF01056298