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Geometrical properties of a class of Banach spaces including the spacesc 0 andL p (1≦p<∞)

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References

  1. Bishop, E., de Leeuw, K.: The representation of linear functionals by measures on sets of extreme points. Ann. Inst. Fourier9, 305–331 (1959)

    Google Scholar 

  2. Day, M.M.: Normed linear spaces. Berlin, Göttingen, Heidelberg: Springer 1958

    Google Scholar 

  3. Dunford, N., Schwartz, J.: Linear operators. Part I. General theory. Pure and Applied Mathematics, 7. New York, London: Interscience 1958

    Google Scholar 

  4. Garkavi, A.L.: Sib. Math. J.5, 472–476 (1964) (in Russian)

    Google Scholar 

  5. Godini, G.: On subspaces of smoothness and applications to best approximations. Rev. Roumaine Math. Pures Appl.17, 253–260 (1972)

    Google Scholar 

  6. Halmos, P.R.: Measure theory. New York: Van Nostrand 1950

    Google Scholar 

  7. Holmes, R.B.: Smoothness indices for convex functions and the unique Hahn-Banach extension problem. Math. Z.119, 95–110 (1971)

    Google Scholar 

  8. Kripke, B.R., Rivlin, T.J.: Approximations in the metric ofL 1(X, μ). Trans. Amer. Math. Soc.115, 101–122 (1965)

    Google Scholar 

  9. Odinec, V.P.: Rev. Roum. Math. Pures Appl.20, 429–437 (1975) (in Russian)

    Google Scholar 

  10. Rozema, E.: Almost Chebyshev subspaces ofL 1(μ,E). Pacific J. Math.53, (1974)

  11. Singer, I.: Best approximation in normed linear spaces by elements of linear subspaces. Publ. House Acad. Berlin, Heidelberg, New York: Buchares and Springer 1970

    Google Scholar 

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  1. Increst and Institute of Mathematics, Bukarest, Rumania

    G. Godini

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  1. G. Godini
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Godini, G. Geometrical properties of a class of Banach spaces including the spacesc 0 andL p (1≦p<∞). Math. Ann. 243, 197–212 (1979). https://doi.org/10.1007/BF01424540

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  • DOI: https://doi.org/10.1007/BF01424540

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