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Best approximation in the space of bounded operators and its applications

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References

  1. Alfsen, E.M., Effros, E.G.: Structure in real Banach spaces. Ann. of Math.96, 98–173 (1972)

    Google Scholar 

  2. Amir, D., Mach, J., Saatkamp, K.: To be published (1979)

  3. Axler, S., Berg, I.D., Jewell, N., Shields, A.: Approximation by compact operators and the spaceH+C. Preprint (1978)

  4. Deutsch, F., Mach, J., Saatkamp, K.: Approximation by finite rank operators. Submitted for publication (1979)

  5. Fakhoury, H.: Projections de meilleure approximation continués dans certains espaces de Banach. J. Math. Pures Appl.53, 1–16 (1974)

    Google Scholar 

  6. Fakhoury, H.: Approximation des bornés d'un espace de Banach par des compacts et applications à l'approximation des operateurs bornés. Israel J. Math. (to appear)

  7. Feder, M.: On a certain subset ofL 1(0, 1) and non-existence of best approximation in some spaces of operators. J. Approximation Theory (to appear)

  8. Flinn, P.: A characterization ofM-ideals inB(l p ) for 1<p<∞. Preprint (1979)

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

    Google Scholar 

  10. Hennefeld, J.:K(X) as a subspace ofB(X). Preprint (1979)

  11. Holmes, R.B.:M-ideals in approximation theory. In: Approximation theory, II, pp. 391–396. New York: Academic Press 1976

    Google Scholar 

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

    Google Scholar 

  13. Holmes, R.B., Scranton, B.E., Ward, J.D.: Approximation from the space of compact operators and otherM-ideals. Duke Math. J.39, 1–8 (1972)

    Google Scholar 

  14. Lau, K.: Approximation by continuous vector valued functions. Preprint (1978)

  15. Lau, K.: A sufficient condition for proximinality. Preprint (1978)

  16. Lazar, A.J., Lindenstrauss, J.: Banach spaces whose duals areL 1-spaces and their representing matrices. Acta Math.126, 165–194 (1971)

    Google Scholar 

  17. Lima, A.:M-ideals of compact operators in classical Banach spaces. Preprint (1978)

  18. Lindenstrauss, J.: On operators which attain their norm. Israel J. Math.1, 473–478 (1963)

    Google Scholar 

  19. Lindenstrauss, J., Tzafiri, L.: Classical Banach spaces. I. Berlin, Heidelberg, New York: Springer 1977

    Google Scholar 

  20. Lindenstrauss, J., Tzafiri, L.: Classical Banach spaces. II. Berlin, Heidelberg, New York: Springer 1979

    Google Scholar 

  21. Mach, J.: On the proximinality of compact operators with range inC(S). Proc. Amer. Math. Soc.72, 99–104 (1978)

    Google Scholar 

  22. Mach, J.: Best simultaneous approximations of bounded functions with values in certain Banach spaces. Math. Ann.240, 274–286 (1978)

    Google Scholar 

  23. Mach, J., Ward, J.D.: Approximation by compact operators in certain Banach spaces. J. Approximation Theory23, 274–286 (1978)

    Google Scholar 

  24. Saatkamp, K.:M-ideals of compact operators. Math. Z.158, 253–263 (1978)

    Google Scholar 

  25. Smith, R.R., Ward, J.D.:M-ideal structure in Banach algebras. J. Functional Analysis27, 337–349 (1978)

    Google Scholar 

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  1. Institut für Angewandte Mathematik der Universität, Wegelerstrasse 6, D-5300, Bonn, Germany

    Klaus Saatkamp

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  1. Klaus Saatkamp
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Saatkamp, K. Best approximation in the space of bounded operators and its applications. Math. Ann. 250, 35–54 (1980). https://doi.org/10.1007/BF01422183

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