Advertisement

Banach Spaces pp 116-128 | Cite as

Factoring operators through hereditarily-ℓP spaces

  • Richard D. Neidinger
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1166)

Keywords

Banach Space Compact Operator Weakly Compact Open Mapping Theorem Norm Compact 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [BL]
    J. Bergh and J. Löfström, Interpolation Spaces, an Introduction, Springer-Verlag, New York, 1976.CrossRefzbMATHGoogle Scholar
  2. [BR]
    J. Bourgain and H. P. Rosenthal, "Applications of the theory of semi-embeddings to Banach space theory," J. Functional Analysis 52 (1983), 149–188.MathSciNetCrossRefzbMATHGoogle Scholar
  3. [D]
    J. Diestel, Sequences and Series in Banach Spaces, Springer-Verlag, New York, 1984.CrossRefzbMATHGoogle Scholar
  4. [DFJP]
    W. J. Davis, T. Figiel, W. B. Johnson and A. Pelczynski, "Factoring weakly compact operators," J. Functional Analysis 17 (1974), 311–327.MathSciNetCrossRefzbMATHGoogle Scholar
  5. [DU]
    J. Diestel and J. J. Uhl, Jr., Vector Measures, A.M.S. Surveys, No. 15, Amer. Math. Soc., Providence, R.I., 1977.zbMATHGoogle Scholar
  6. [F]
    T. Figiel, "Factorization of compact operators and applications to the approximation problem," Studia Math. 45 (1973), 191–210.MathSciNetzbMATHGoogle Scholar
  7. [J]
    W. B. Johnson, "Factoring compact operators," Israel J. Math. 9 (1971), 337–345.MathSciNetCrossRefzbMATHGoogle Scholar
  8. [KW]
    N. Kalton and A. Wilansky, "Tauberian operators on Banach spaces," Proc. A.M.S. 57 (1976), 251–255.MathSciNetCrossRefzbMATHGoogle Scholar
  9. [LT]
    J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces I, Springer-Verlag, New York, 1977.CrossRefzbMATHGoogle Scholar
  10. [M]
    V. D. Mil'man, "Some properties of strictly singular operators," Functional Analysis and its Applications (translated from Russian) 3 (1969), 77–78.CrossRefzbMATHGoogle Scholar
  11. [N]
    R. D. Neidinger, "Properties of Tauberian operators on Banach spaces," Ph.D. Dissertation, University of Texas at Austin, 1984.Google Scholar
  12. [NR]
    R. D. Neidinger and H. P. Rosenthal, "Norm-attainment of linear functionals on subspaces and characterizations of Tauberian operators," to appear in Pacific J. Math. Google Scholar
  13. [Ro]
    H. P. Rosenthal, "Some recent discoveries in the isomorphic theory of Banach spaces," Bulletin A.M.S. 94 (1978), 803–831.MathSciNetCrossRefzbMATHGoogle Scholar
  14. [Ru]
    W. Rudin, Functional Analysis, McGraw-Hill, New York, 1973.zbMATHGoogle Scholar
  15. [S]
    W. Schachermayer, "The sum of two Radon-Nikodym-sets need not be a Radon-Nikodym-set," preprint.Google Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Richard D. Neidinger
    • 1
  1. 1.Department of MathematicsDavidson CollegeDavidson

Personalised recommendations