Skip to main content

Order ideals in ordered Banach spaces

  • Course Mathematics
  • Chapter
  • First Online:
Foundations of Quantum Mechanics and Ordered Linear Spaces

Part of the book series: Lecture Notes in Physics ((LNP,volume 29))

  • 211 Accesses

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. E.M. ALFSEN, ‘On the decomposition of a Choquet simplex into a direct convex sum of complementary faces', Math. Scand. 17 (1965) 169–176.

    Google Scholar 

  2. E.M. ALFSEN, ‘Facial structure of compact convex sets', Proc. London Math. Soc. 18 (1968) 385–404.

    Google Scholar 

  3. E.M. ALFSEN, ‘Compact convex sets and boundary integrals', Springer-Verlag, Berlin, 1971.

    Google Scholar 

  4. E.M. ALFSEN and T.B. ANDERSEN, ‘Split faces of compact convex sets', Proc. London Math. Soc. 21 (1970) 415–442.

    Google Scholar 

  5. E.M. ALFSEN and E.G. EFFROS, ‘Structure in real Banach spaces I, II', Ann. Math. 96 (1972) 98–173.

    Google Scholar 

  6. T.B. ANDERSEN, ‘On dominated extensions of continuous affine functions on split faces', Math. Scand. 29 (1971) 298–306.

    Google Scholar 

  7. L. ASIMOW and A.J. ELLIS, ‘Facial decomposition of linearly compact simplexes and separation of functions on cones', Pac. J. Math. 34 (1970) 301–310.

    Google Scholar 

  8. CHU CHO-HO, ‘Anti-lattices and prime sets', Math. Scand. 31 (1972) 151–165.

    Google Scholar 

  9. CHU CHO-HO, ‘Prime faces in C-algebras', J. London Math. Soc. (to appear).

    Google Scholar 

  10. D.A. EDWARDS, ‘On the homeomorphic affine embedding of a locally compact cone into a Banach dual space endowed with the vague topology', Proc. London Math. Soc. 14 (1964) 399–414.

    Google Scholar 

  11. E.G. EFFROS, ‘Structure in simplexes', Acta Math. 117 (1967) 103–121.

    Google Scholar 

  12. A.J. ELLIS, ‘Perfect order ideals', J. London Math. Soc. 40 (1965) 288–294.

    Google Scholar 

  13. A.J. ELLIS, ‘On faces of compact convex sets and their annihilators', Math. Ann. 184 (1969) 19–24.

    Article  Google Scholar 

  14. A.J. ELLIS, ‘On split faces and function algebras', Math. Ann. 195 (1972) 159–166.

    Article  Google Scholar 

  15. B. HIRSBERG, ‘IM-ideals in complex function spaces and algebras', Israel J. Math. 12 (1972) 133–146.

    Google Scholar 

  16. GRAHAM JAMESON, lsOrdered linear spaces', Lecture Notes in Mathematics, No.141, Springer-Verlag, Berlin, 1970.

    Google Scholar 

  17. R.J. NAGEL, ‘Ideals in ordered locally convex spaces', Math. Scand. 29 (1971) 259–2710

    Google Scholar 

  18. E. STØRMER, ‘On partially ordered vector spacers and their duals with applications to simplexes and C-algebras', Proc. London Math. Soc. 18 (1968) 245–265.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

A. Hartkämper H. Neumann

Rights and permissions

Reprints and permissions

Copyright information

© 1974 Springer-Verlag

About this chapter

Cite this chapter

Ellis, A.J. (1974). Order ideals in ordered Banach spaces. In: Hartkämper, A., Neumann, H. (eds) Foundations of Quantum Mechanics and Ordered Linear Spaces. Lecture Notes in Physics, vol 29. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-06725-6_8

Download citation

  • DOI: https://doi.org/10.1007/3-540-06725-6_8

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06725-2

  • Online ISBN: 978-3-540-38650-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics