M-아이디얼의 기원과 그의 신비성

  • Published : 2000.12.01

Abstract

In this paper, we explore the origin of the notion of an M-ideal, and appreciate the richness of algebraic and geometric properties of an M-ideal.

Keywords

References

  1. Ann. of Math. (2) v.96 Structure in real Banach spaces Ⅰ Alfsen, E.M.;E.G. Effros
  2. Ann. of Math. (2) v.96 Structure in real Banach spaces Ⅱ Alfsen, E.M.;E.G. Effros
  3. Lecture Notes in Mathematics 736 M-structure and the Banach-Stone Theorem Behrends, E.
  4. J. Kor. Math. Soc. v.31 The metric approximation property and intersection properties of balls Cho, C.-M.
  5. Pacific J. Math. (2) v.138 M-ideals of Compact Operators Cho, C.-M.
  6. Canad. Math. Bull. v.32 A Note on M-ideals of Compact Operators Cho, C.-M.
  7. Bull. Kor. Math. Soc. (2) v.25 Best Approximation by Compact Operators Cho, C.-M.
  8. Proc. Amer. Math. Soc. v.93 no.3 A Characterization of subspaces X of $\iota_{\rho}$ for which K(X) is an M-ideal in L(X) Cho, C.-M.;W.B. Johnson
  9. J. Operator Theory v.16 no.2 M-ideals and ideals in L(X) Cho, C.-M.W.B. Johnson
  10. Interna. J. Math. and Math. Sci. v.23 A Note on M-ideals in Certain Algebras of Operators Cho, C.-M.;W.S. Roh
  11. Ann. of Math. v.51 Les fonctionnelles lineaires sur l'ensemble des operateurs bornes d'unespace de Hilbert Dixmier, J.
  12. Pacific J. Math. v.98 no.1 A characterization of M-ideals in B$(\iota_{\rho})$ 1< p < ∞ Flinn, P.H.
  13. Trans. Amer. Math. Soc. v.283 Banach spaces which are M-ideals in their biduals Harmand, P.;A. Lima
  14. Lecture Notes in Mathematics Vol. 1547 M-ideals in Banach spaces and Banach Algebras Harmand, P.;D. Werner;W. Werner
  15. Approximation theory Ⅱ M-ideals in approximation theory Holmes, R.
  16. Duke Math. J. v.42 Approximation from the space of compact operators and other M-ideals Holmes, R.;B. Scranton;J. D. Ward
  17. Illinois J. Math. v.37 M-ideals of compact operators Kalton, N.J.
  18. Proc. Roy. Soc. Edinburgh Sect. A v.125 no.3 The M-ideal structure of some algebra of bounded linear operators Kalton, N.J.;D. Werner
  19. Trans. Amer. Math. Soc. v.227 Intersection properties of balls and subspaces of Banach spaces Lima, A.
  20. Math. Scand. v.44 M-ideals of compact operators in classical Banach spaces Lima, A.
  21. Indiana Univ. Math. J. v.31 On M-ideals and best approximation Lima, A.
  22. Math. Scand. v.53 Uniqueness of Hahn-Banach extensions and liftings of linear dependences Lima, A.
  23. J. Funct. anal. v.27 M-ideal structure in Banach algebras Smith, R.R.;J.D. Ward
  24. Quart. J. Math. Oxford (2) v.30 no.119 Applications of convexity and M-ideal theory to quotient Banach algebras Smith, R.R.;J.D. Ward
  25. J. Approx. Theory v.76 no.1 M-ideals and the 'basic inequality' Werner, D.
  26. Bull. Austral. Math. Soc. v.20 Best approximation and intersection of balls in Banach spaces Yost, D.T.