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A remark on the best approximation in the mean of vector-valued functions

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Literature cited

  1. A. Kroó, “Best L1-approximation of vector valued functions,” Acta Math. Acad. Sci. Hung.,39, Nos. 1–3, 303–310 (1982).

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  2. A. L. Garkavi, “On the uniqueness of the best approximation in the mean of vector-valued functions,” Mat. Zametki,39, No. 3, 337–348 (1986).

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  3. Dzh. Distel', Geometry of Banach Spaces [in Russian], Vishcha Shkola, Kiev (1980).

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  4. E. Rosema, “Almost Chebyshev subspaces of L1(μ, E),” Pac. J. Math.,53, 585–604 (1974).

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Authors and Affiliations

  1. Kiev University, USSR

    G. S. Smirnov

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  1. G. S. Smirnov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 6, pp. 818–820, June, 1989.

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Smirnov, G.S. A remark on the best approximation in the mean of vector-valued functions. Ukr Math J 41, 703–704 (1989). https://doi.org/10.1007/BF01060574

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  • DOI: https://doi.org/10.1007/BF01060574

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