Skip to main content

On unconditional bases and rademacher averages

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 472))

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

Buying options

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ed Dubinsky, A. Pełczyński and H.P. Rosenthal, On Banach spaces X for which π2(,X) = B(,X), Studia Math. 44(1972), 617–648.

    MathSciNet  MATH  Google Scholar 

  2. Y. Gordon and D. Lewis, Absolutely summing maps and local unconditional structures, Acta Math., to appear.

    Google Scholar 

  3. T. Hoffman-Jorgensen, Sums of independent Banach space valued random variables, Aarhus University, Preprint series 1972–1973, No 15, cf. also Studia Math. 52(1974), 159–186.

    Google Scholar 

  4. W.B. Johnson, On finite dimensional subspaces of Banach spaces with local unconditional structure, Studia Math. 51(1974), 225–240

    MathSciNet  MATH  Google Scholar 

  5. J.P. Kahane, Some random series of functions, Heath Math. Mono. Lexington, Mass. 1968.

    Google Scholar 

  6. S. Kwapień, Isomorphic characterization of inner product spaces by orthogonal series with vector valued coefficients, Studia Math. 44 (1972), 583–595.

    MathSciNet  MATH  Google Scholar 

  7. S. Kwapień, Isomorphic characterization of inner product spaces..., Seminaire Maurey-Schwartz, Ecole Polytechnique 1972–1973.

    Google Scholar 

  8. J. Lindenstrauss and H.P. Rosenthal, The ℒp-spaces, Israel J. Math. 7(1969), 325–349.

    Article  MathSciNet  MATH  Google Scholar 

  9. B. Maurey, Théorèmes de factorisation pour les opérateurs linéaires à valeurs dans les espaces Lp, Asterisque 11 (1974).

    Google Scholar 

  10. G. Nordlander, On sign-independent and almost sign-independent convergence in normed linear spaces, Ark. Mat. r(1962), 287–296.

    Google Scholar 

  11. W. Orlicz, Über unbedingte Konvergenz in Funktionräumen (I), (II), Studia Math. r(1933), 33–37; 41–47.

    Google Scholar 

  12. H.P. Rosenthal, On subspaces of Lp, Annals of Math. 97 (1973), 344–373.

    Article  MATH  Google Scholar 

  13. Seminaire Maurey-Schwartz, École Polytechnique, Paris 1972–1973.

    Google Scholar 

  14. Nicole Tomczak-Jaegerman, The module of smoothness and convexity and the Rademacher averages of trace classes Sp (1≤p<∞) Studia Math. 50(1974), 163–182. *** DIRECT SUPPORT *** A00J4108 00004

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Z. Ciesielski K. Urbanik W. A. Woyczyński

Rights and permissions

Reprints and permissions

Copyright information

© 1975 Springer-Verlag

About this paper

Cite this paper

Pełczyński, A. (1975). On unconditional bases and rademacher averages. In: Ciesielski, Z., Urbanik, K., Woyczyński, W.A. (eds) Probability-Winter School. Lecture Notes in Mathematics, vol 472. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081950

Download citation

  • DOI: https://doi.org/10.1007/BFb0081950

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07190-7

  • Online ISBN: 978-3-540-37556-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics