Skip to main content

Absolutely divergent series and Banach operator ideals

  • 475 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 939)

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R. E. Jamison and W. H. Ruckle, Factoring absolutely convergent series, Math. Ann. 224(1976), 143–148

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. N. J. Kalton and W. H. Ruckle, A series characterization of subspaces of Lp(μ), BAMS 79(1973), 1019–1022.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. J. Lindenstrauss and A. Pełczyński, Absolutely summing operators of Lp spaces and their applications, Studia Math. 29(1968), 275–336.

    MathSciNet  MATH  Google Scholar 

  4. A. Pietsch, “Nuclear Locally Convex Spaces”, Springer, Berlin, Heidelberg, New York (1970).

    Google Scholar 

  5. W. H. Ruckle, The infinite sum of closed subspaces of an F-space, Duke Math. J. 31(1964), 543–554.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. W. H. Ruckle, Absolutely divergent series and isomorphism of subspaces, Pacific J. Math. 58(1975), 605–615.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. W. H. Ruckle, Absolutely divergent series and isomorphism of subspaces, II, Pacific J. Math. 68(1977), 229–240.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. R. Schatten, “Norm Ideals of Completely Continuous Operators”, Springer, Berlin, Heidelberg, New York, (1970).

    CrossRef  MATH  Google Scholar 

  9. I. Schur, Ueber Linear Transformation in der Theorie der unendlichen Reihen, J. Rein Angew. Math. 151(1920), 79–111.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Ruckle, W.H. (1982). Absolutely divergent series and Banach operator ideals. In: Chao, JA., Woyczyński, W.A. (eds) Martingale Theory in Harmonic Analysis and Banach Spaces. Lecture Notes in Mathematics, vol 939. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096269

Download citation

  • DOI: https://doi.org/10.1007/BFb0096269

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11569-4

  • Online ISBN: 978-3-540-39284-2

  • eBook Packages: Springer Book Archive