Literature cited
S. I. Zukhovitskii and S. B. Stechkin, “Approximation of abstract functions with values in a Banach space,” Dokl. Akad. Nauk SSSR,106, No. 5, 773–776 (1956).
S. I. Zukhovitskii and M. G. Krein, “A possible generalization of theorems of A. Haar and A. N. Kolmogorov,” Usp. Mat. Nauk,5, No. 1, 217–229 (1950).
G. Sh. Rubinshtein, “A method of investigating convex sets,” Dokl. Akad. Nauk SSSR,102, No. 3, 451–454 (1955).
S. I. Zukhovitskii, “Approximation of real functions in the sense of P. L. Chebyshev,” Usp. Mat. Nauk,2, No. 2, 125–159 (1956).
Z. S. Romanova, “Dimension of polyhedra of best approximation in a space of continuous functions,” Lit. Mat. Sb.,2, No. 2, 181–191 (1963).
I. Singer, Best Approximation in Normed Linear Space by Elements of Linear Subspaces, Grundlehren der Math. Wiss., Vol. 171, Springer-Verlag, Berlin-Heidelberg-New York (1970).
J. L. Kelley, General Topology, Springer-Verlag (1975).
N. P. Korneichuk, Extremal Problems of the Theory of Approximation [in Russian], Nauka, Moscow (1976).
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Translated from Matematicheskie Zametki, Vol. 33, No. 1, pp. 31–40, January, 1983.
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Koshcheev, V.A. Systems of continuous vector-valued functions of given Chebyshev rank. Mathematical Notes of the Academy of Sciences of the USSR 33, 16–21 (1983). https://doi.org/10.1007/BF01141193
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DOI: https://doi.org/10.1007/BF01141193