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Chebyshev subspaces of spaces of abstract affine functions

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Literature cited

  1. S. I. Zukhovitskii and S. B. Stechkin, “Approximation to abstract functions with values in Banach space,” Dokl. Akad. Nauk SSSR,106, No. 5, 773–776 (1956).

    Google Scholar 

  2. D. Distel', The Geometry of Banach Spaces [in Russian], selected chapters, Vishcha Shkola, Kiev (1980).

    Google Scholar 

  3. Yu. A. Shashkin, “Convex sets, extremal points and simplexes,” Itogi Nauki i Tekhniki Mat. Anal.,11, VINITI, Moscow (1973), pp. 5–50.

    Google Scholar 

  4. A. J. Lazar, “Spaces of affine continuous functions on simplexes,” Trans. Am. Math. Soc.,134, No. 3, 503–525 (1968).

    Google Scholar 

  5. I. Singer, “Caractérisation des elements de meilleure approximation dans un espace de Banach quelconque,” Acta Sci. Math.,17, Nos. 3–4, 181–189 (1956).

    Google Scholar 

  6. R. Phelps, Lectures on Schocke's Theorems [Russian translation], Mir, Moscow (1968).

    Google Scholar 

  7. G. Sh. Rubinshtein, “A method of studying convex sets,” Dokl. Akad. Nauk SSSR,102, No. 3, 451–454 (1955).

    Google Scholar 

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Translated from Matematicheskie Zametki, Vol. 36, No. 1, pp. 89–101, July, 1984.

In conclusion, the author thanks Yu. A. Shashkin for setting the problem and for his attention to this article.

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Ustinov, G.M. Chebyshev subspaces of spaces of abstract affine functions. Mathematical Notes of the Academy of Sciences of the USSR 36, 537–543 (1984). https://doi.org/10.1007/BF01139555

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