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Best simultaneous approximation of bounded functions with values in certain Banach spaces

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References

  1. Fakhoury, H.: Approximation par des opérateurs compacts et faiblement compacts à valeurs dansC(X) (to appear in Ann. Inst. Fourier)

  2. Fakhoury, H.: Approximation des bornés d'un espace de Banach par des compacts et applications à l'approximation des opérateurs bornés (to appear)

  3. Hennefeld, J.: A decomposition forB(X) and unique Hahn-Banach extension. Pacific J. Math.46, 197–199 (1973)

    Google Scholar 

  4. Holland, A.S.B., Sahney, B.N., Tzimbalario, J.: On best simultaneous approximation. J. Approximation Theory17, 187–188 (1976)

    Google Scholar 

  5. Holmes, R., Kripke, B.: Interposition and approximation. Pacific J. Math.24, 103–110 (1968)

    Google Scholar 

  6. Holmes, R., Kripke, B.: Best approximation by compact operators. Indiana Univ. Math. J.21, 255–263 (1971)

    Google Scholar 

  7. Holmes, R.: A course on optimisation an best approximation, Lecture Notes in Mathematics 257. Berlin, Heidelberg, New York: Springer 1972

    Google Scholar 

  8. Mach, J.: On the proximinality of compact operators with range inC(S) (to appear in Proc. Amer. Math. Soc.)

  9. Mach, J., Ward, J.D.: Approximation by compact operators on certain Banach spaces (to appear in J. Approximation Theory)

  10. Milman, P.D.: On best simultaneous approximation in normed linear spaces. J. Approximation Theory20, 223–238 (1977)

    Google Scholar 

  11. Olech, C.: Approximation of set-valued functions by continuous functions. Colloq. Math.19, 285–293 (1968)

    Google Scholar 

  12. Michael, E.: Continuous selections I. Ann. of Math.63, 361–382 (1956)

    Google Scholar 

  13. Dunford, N., Schwartz, J.T.: Linear operators I. New York: Interscience 1958

    Google Scholar 

  14. Smith, P.W., Ward, J.D.: Restricted centers in subalgebras ofC(X). J. Approximation Theory15, 54–59 (1975)

    Google Scholar 

  15. Garkavi, A.L.: The best possible net and the best possible cross-section of set in a normed space. Amer. Math. Soc. Transl.39, 111–132 (1964)

    Google Scholar 

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  1. Institut für Angewandte Mathematik der Universität Bonn, Wegelerstraße 6, D-5300, Bonn, Federal Republic of Germany

    Jaroslav Mach

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  1. Jaroslav Mach
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Mach, J. Best simultaneous approximation of bounded functions with values in certain Banach spaces. Math. Ann. 240, 157–164 (1979). https://doi.org/10.1007/BF01364630

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  • DOI: https://doi.org/10.1007/BF01364630

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