Skip to main content
Log in

Minimal and reflexive Banach lattices

  • Published:
Mathematische Annalen 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.

References

  1. Ando, T.: Invariante Masse positiver Kontraktionen inC(X). Studia Math.31, 173–187 (1968)

    Google Scholar 

  2. Ando, T.: Banachverbände und positive Projektionen. Math. Z.109, 121–130 (1969)

    Google Scholar 

  3. Dixmier, J.: Sur certaines espace considérés par M. H. Stone. Summa Bras. Math.2, 151–182 (1951)

    Google Scholar 

  4. Grothendieck, A.: Sur les applications linéaires faiblement compactes d'espaces du typeC(K). Canad J. Math.5, 129–173 (1953)

    Google Scholar 

  5. Grothendieck, A.: Une caractérisation vectorielle-métrique des espacesL 1. Canad. J. Math.7, 552–561 (1955)

    Google Scholar 

  6. James, R.C.: Bases and reflexivity of Banach spaces. Ann. of Math.52, 518–527 (1950)

    Google Scholar 

  7. Lotz, H.P.: Über das Spektrum positiver Operatoren. Math. Z.108, 15–32 (1968)

    Google Scholar 

  8. Lotz, H. P.: Extensions and liftings of positive linear mappings on Banach lattices. To appear in Trans. Amer. Math. Soc.

  9. Luxemburg, W.A.J., Zaanen, A.C.: Notes on Banach function spaces. Proc. Acad. Sci. Amsterdam; Note X, A67, 493–506 (1964); Note XI, A67, 507–518 (1964); Note XII, A67, 519–529 (1964); Note XIII, A67, 530–543 (1964); Note XIV, A68, 229–248 (1965)

  10. Nakano, H.: Semi-ordered linear spaces. Tokyo 1955

  11. Pelczynski, A.: Projections in certain Banach spaces. Studia Math.19, 209–228 (1960)

    Google Scholar 

  12. Peressini, A.L.: Ordered topological vector spaces. New York-Evanston-London: Harper and Row 1967

    Google Scholar 

  13. Schaefer, H.H.: Halbgeordnete lokalkonvexe Vektorräume III. Math. Ann.141, 113–142 (1960)

    Google Scholar 

  14. Schaefer, H.H.: Topological vector spaces 3rd print. Berlin-Heidelberg-New York: Springer 1971

    Google Scholar 

  15. Schaefer, H.H.: Weak convergence of measures. Math. Ann.193, 57–64 (1971)

    Google Scholar 

  16. Walsh, B.: On characterizing Köthe sequence spaces as vector lattices. Math. Ann.175, 253–256 (1968)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The author was supported in part by NSF GP 28577.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lotz, H.P. Minimal and reflexive Banach lattices. Math. Ann. 209, 117–126 (1974). https://doi.org/10.1007/BF01351316

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01351316

Navigation