Archiv der Mathematik

, Volume 19, Issue 1, pp 70–78 | Cite as

Notes on the Stone property in vector lattices

  • John S. Pym
Article
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Keywords

Vector Lattice Stone Property 
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References

  1. [1]
    H. Bauer, Sur l'équivalence des théories de l'intégration selon N. Bourbaki et selon M. H. Stone. Bull Soc. Math. France85, 51–75 (1957).Google Scholar
  2. [2]
    H. Bauer, Šilovscher Rand und Dirichletsches Problem. Ann. Inst. Fourier11, 89–136 (1961).Google Scholar
  3. [3]
    H. Gordon, Decomposition of linear functionals on Riesz spaces. Duke. Math. J.27, 597–606 1960Google Scholar
  4. [4]
    J. L.Kelley and I.Namioka, Linear Topological Spaces. New York 1963.Google Scholar
  5. [5]
    D. Kölzow, Charakterisierung der Maße, welche zu einem Integral im Sinne von Stone oder von Bourbaki gehören. Arch. Math.16, 200–207 (1965).Google Scholar
  6. [6]
    D. Kölzow, Topologische Eigenschaften des abstrakten Integrals im Sinne von Bourbaki. Arch. Math.17, 244–252 (1966).Google Scholar
  7. [7]
    M. Metivier, Une condition nécessaire et suffisante d'existence d'un Espace de Représentation de H. Bauer. Arch. Math.15, 450–462 (1964).Google Scholar
  8. [8]
    T. Riedrich, Die Stonesche Bedingung und die Äquivalenz der Integrationstheorien von M. H. Stone und N. Bourbaki. Arch. Math.9, 206–217 (1960).Google Scholar
  9. [9]
    M. H. Stone, Notes on integration I–IV. Proc. Nat. Acad. Sci. USA.34, 336–342, 447–455, 483–490 (1948);35, 50–58 (1949).Google Scholar

Copyright information

© Birkhäuser Verlag 1968

Authors and Affiliations

  • John S. Pym
    • 1
  1. 1.Department of Pure MathematicsThe UniversitySheffield 10England

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