Chebyshev subspaces of vector-valued functions |
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Authors: | É. N. Morozov |
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Affiliation: | (1) Kalinin Polytechnic Institute, USSR |
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Abstract: | It is shown that if on a compact space Q any polynomial , in a system of continuous vector functions with real coefficients such that N=n·s and s=2p +1 has at most n–1 zeros, then Q is homeomorphic to a circle or a part of one.Translated from Matematicheskie Zametki, Vol. 19, No. 3, pp. 347–352, March 1976.In conclusion, the author thanks S. B. Stechkin for stating the problem globally. |
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