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Haar's condition for systems of vector-valued functions

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Literature cited

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

    Google Scholar 

  2. V. A. Koshcheev, “Systems of continuous vector-valued functions of given Chebyshev rank,” Mat. Zametki,33, No. 1, 31–40 (1983).

    Google Scholar 

  3. I. Singer, Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces (Grundlehren Math. Wiss.,171), Springer, Heidelberg (1970).

    Google Scholar 

  4. G. Sh. Rubinshtein, “On a method for investigation of convex sets,” Dokl. Akad. Nauk SSSR,103, No. 3, 451–454 (1955).

    Google Scholar 

  5. B. R. Kripke and T. J. Rivlin, “Approximation in the metric of ℒ1 (T, μ),” Trans. Am. Math. Soc.,119, 101–122 (1965).

    Google Scholar 

  6. A. Kroo, “Best ℒ1-approximation of vector valued functions,” Acta Acad. Sci. Hung.,32, 303–310 (1982).

    Google Scholar 

  7. A. L. Garkavi, “On the uniqueness of the best approximation in the mean to vector-valued functions,” Mat. Zametki,33, No. 3, 337–348 (1986).

    Google Scholar 

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Translated from Matematicheskie Zametki, Vol. 45, No. 1, pp. 10–15, January–February, 1989.

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Garkavi, A.L. Haar's condition for systems of vector-valued functions. Mathematical Notes of the Academy of Sciences of the USSR 45, 7–11 (1989). https://doi.org/10.1007/BF01158708

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  • DOI: https://doi.org/10.1007/BF01158708

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