Skip to main content
SpringerLink
Log in

Factoring operators through hereditarily-ℓP spaces

  • Conference paper
  • First Online:
Banach Spaces

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1166))

This is part of the author's Ph.D. dissertation prepared at the University of Texas at Austin under the supervision of Haskell P. Rosenthal.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 39.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. Bergh and J. Löfström, Interpolation Spaces, an Introduction, Springer-Verlag, New York, 1976.

    Book  MATH  Google Scholar 

  2. J. Bourgain and H. P. Rosenthal, "Applications of the theory of semi-embeddings to Banach space theory," J. Functional Analysis 52 (1983), 149–188.

    Article  MathSciNet  MATH  Google Scholar 

  3. J. Diestel, Sequences and Series in Banach Spaces, Springer-Verlag, New York, 1984.

    Book  MATH  Google Scholar 

  4. W. J. Davis, T. Figiel, W. B. Johnson and A. Pelczynski, "Factoring weakly compact operators," J. Functional Analysis 17 (1974), 311–327.

    Article  MathSciNet  MATH  Google Scholar 

  5. J. Diestel and J. J. Uhl, Jr., Vector Measures, A.M.S. Surveys, No. 15, Amer. Math. Soc., Providence, R.I., 1977.

    MATH  Google Scholar 

  6. T. Figiel, "Factorization of compact operators and applications to the approximation problem," Studia Math. 45 (1973), 191–210.

    MathSciNet  MATH  Google Scholar 

  7. W. B. Johnson, "Factoring compact operators," Israel J. Math. 9 (1971), 337–345.

    Article  MathSciNet  MATH  Google Scholar 

  8. N. Kalton and A. Wilansky, "Tauberian operators on Banach spaces," Proc. A.M.S. 57 (1976), 251–255.

    Article  MathSciNet  MATH  Google Scholar 

  9. J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces I, Springer-Verlag, New York, 1977.

    Book  MATH  Google Scholar 

  10. V. D. Mil'man, "Some properties of strictly singular operators," Functional Analysis and its Applications (translated from Russian) 3 (1969), 77–78.

    Article  MATH  Google Scholar 

  11. R. D. Neidinger, "Properties of Tauberian operators on Banach spaces," Ph.D. Dissertation, University of Texas at Austin, 1984.

    Google Scholar 

  12. 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. H. P. Rosenthal, "Some recent discoveries in the isomorphic theory of Banach spaces," Bulletin A.M.S. 94 (1978), 803–831.

    Article  MathSciNet  MATH  Google Scholar 

  14. W. Rudin, Functional Analysis, McGraw-Hill, New York, 1973.

    MATH  Google Scholar 

  15. W. Schachermayer, "The sum of two Radon-Nikodym-sets need not be a Radon-Nikodym-set," preprint.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Davidson College, 28036, Davidson, N.C.

    Richard D. Neidinger

Authors
  1. Richard D. Neidinger
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Nigel J. Kalton Elias Saab

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Neidinger, R.D. (1985). Factoring operators through hereditarily-ℓP spaces. In: Kalton, N.J., Saab, E. (eds) Banach Spaces. Lecture Notes in Mathematics, vol 1166. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074701

Download citation

  • DOI: https://doi.org/10.1007/BFb0074701

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16051-9

  • Online ISBN: 978-3-540-39736-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation