Skip to main content
Log in

Grothendieck Banach lattices

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

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.

Literature Cited

  1. A. Grothendieck, “Sur les applications lineaires faiblement compactes d'espaces du type C(K),” Can. J. Math.,5, 129–173 (1953).

    Google Scholar 

  2. V. Sh. Khasanov, “On certain properties of Banach spaces connected with complementability,” Author's Abstract of Candidate's Dissertation, Novosibirsk (1982).

  3. E. V. Tokarev, “On quotient spaces of Banach lattices and on Marcinkiewicz spaces,” Sib. Mat. Zh.,25, No. 2, 205–213 (1984).

    Google Scholar 

  4. A. V. Bukhvalov, A. I. Veksler, and G. Ya. Lozanovskii, “Banach lattices—some Banach aspects of the theory,” Usp. Mat. Nauk,34, No. 2 (206), 137–183 (1979).

    Google Scholar 

  5. A. Pietsch, Operator Ideals, North-Holland, Amsterdam (1980).

    Google Scholar 

  6. Yu. A. Abramovich and G. Ya. Lozanovskii, “On certain numerical characteristics of KN-lineals,” Mat. Zametki,14, No. 5, 723–732 (1973).

    Google Scholar 

  7. H. P. Rosenthal, “A characterization of Banach spaces containingl 1,” Proc. Nat. Acad. Sci. USA,71, No. 6, 2411–2413 (1974).

    Google Scholar 

  8. S. Karlin, “Bases in Banach spaces,” Duke Math. J.,15, 971–985 (1948).

    Google Scholar 

  9. J. Diestel, Geometry of Banach Spaces—Selected Topics, Lecture Notes in Math., No. 485, Springer-Verlag, Berlin (1975).

    Google Scholar 

  10. R. Haydon, “Nonseparable Banach spaces,” in: Functional Analysis: Surveys and Recent Results, II (Proc. Second Conf. Functional Anal., Univ. Paderborn, Paderborn, 1979), North-Holland Math. Studies, 38, North-Holland, Amsterdam (1980), pp. 19–30.

    Google Scholar 

  11. J. Lindenstrauss, “On subspaces of Banach spaces without quasicomplements,” Israel J. Math.,6, 36–38 (1968).

    Google Scholar 

  12. M. M. Day, “Strict convexity and smoothness of normed spaces,” Trans. Am. Math. Soc.,78, No. 2, 516–528 (1955).

    Google Scholar 

  13. J. R. Partington, “Subspaces of certain Banach sequence spaces,” Bull. London Math. Soc.,13, 162–166 (1981).

    Google Scholar 

  14. J. Bourgain, “l /c0 has no equivalent strictly convex norm,” Proc. Am. Math. Soc.,78, No. 2, 225–226 (1980).

    Google Scholar 

  15. E. V. Tokarev, “On Banach lattices that are not isomorphic to strictly convex ones,” Manuscript deposited at VINITI, No. 6069-83 Dep., Moscow (1984).

Download references

Authors

Additional information

Kharkov. Translated from Sibirskii Matematichenskii Zhurnal, Vol. 27, No. 2, pp. 186–192, March–April, 1986.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tokarev, E.V. Grothendieck Banach lattices. Sib Math J 27, 293–298 (1986). https://doi.org/10.1007/BF00969399

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00969399

Navigation