Skip to main content
Log in

Successioni regolari negli spazi di Banach

  • Conferenze
  • Published:
Rendiconti del Seminario Matematico e Fisico di Milano Aims and scope Submit manuscript

Sunto

Viene presentato un panorama della ricerca delle successioni infinite, con le migliori proprietà possibili, che siano presenti in ogni spazio di Banach. In particolare viene presentata la soluzione al problema della successione equilatera.

Summary

There is an outline of the research of the infinite sequence with the best properties in a general Banach space. In particular there is the solution of the author to the problem of existence for the equilater sequence.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Bibliography

  1. Blumenthal L. M.,Theory and applications of distance geometry. Clarendon Press Oxford (1953), MR 14, 1009.

    MATH  Google Scholar 

  2. Blumenthal L. M. eKelly L. M.,New metric-theoretic properties of elliptic space. Univ. Nac. Tucumàn Rev. Ser A 7 (1949), 81–107. MR 11, 533; 872.

    MATH  MathSciNet  Google Scholar 

  3. Elton J. H.,Weakly null normalized sequences in Banach spaces. Doctoral Thesis. Yale University (1978).

  4. Haantjes, J.,Equilater point sets in elliptic two- and three-dimensional spaces. Nieuw Arch. Wisk. (2) 22 (1948), 355–362; MR 9, 369.

    MathSciNet  Google Scholar 

  5. Ketonen J.,Banach spaces and large cardinals. Fund. Math. LXXXI (1974), 291–303.

    MathSciNet  Google Scholar 

  6. Odell E.,Applications of Ramsey theorems to the Banach space theory. Austin; University of Texas Press (1982).

    Google Scholar 

  7. Petty C. M.,Equilater sets in Minkowski spaces. Proceedings AMS (29) 2 (1971), 369–374.

    Article  MathSciNet  Google Scholar 

  8. Rosenthal H. P.,Some remarks concerning unconditional basic sequences. Longhorn Notes. Functional Analysis Seminar—University of Texas at Austin (1982–83), 15–47.

  9. Tsirelson B. S.,Not in every Banach space can one embed l p or c o . Funkcional. Anal. Prizolen 8 (1974), 57–60.

    Google Scholar 

  10. Van Lint J. H. eSeidel J. J.,Equilater point sets in elliptic geometry. Neederl. Akad. Wetensch. Proc. Ser. A 69=Indag. Math. 28 (1966), 355–358, MR 34, 685.

    Google Scholar 

  11. Wong Chi Song Close Normal Structure and Its Applications. Journal of Funtional Analysis 16 (1974), 353–358.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

(Conferenza tenuta il 23 marzo 1987)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Terenzi, P. Successioni regolari negli spazi di Banach. Seminario Mat. e. Fis. di Milano 57, 275–285 (1987). https://doi.org/10.1007/BF02925055

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02925055

Navigation