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Representation of abstract L-spaces

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Symposium on Probability Methods in Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 31))

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References

  1. Carathèodory, C.: Entwurf für eine Algebraisierung des Integralbegriffs, Sitz.-bericht. Bayer. Akad. der Wiss. 1938 pp. 28–67.

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  2. Carathèodory, C.: Mass und Integral und ihre Algebraisierung, Birkhäuser-Verlag Basel 1956, also translation into English, Chelsea Publishing Company, New York,N.Y. 1963.

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  3. Goffman, C.: Remarks on lattice ordered groups and vector lattices. I. Carathèodory functions, Trans. Amer. Math. Soc. Vol. 88 (1958) pp. 107–120.

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  4. Kakutani, S.: Concrete representation of obstract L-space, etc. Ann. of Math. Vol. 42 (1941) pp. 523–537.

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  5. Kappos, D.A.: Structurtheory der Wahrscheinlichkeitsfelder und-Räume, Ergebnisse der Math. und ihrer Grenzgebiete, Neue Folge, Springer-Verlag, Berlin-Göttingen-Heidelberg 1960.

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  6. Kappos, D.A.: Probability Algebras and Stochastic Spaces, mimeographed lectures given at the Catholic University of America, Washington D.C., 1963–64.

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  7. Kappos, D.A.: Remarks on the representation of probability fields and of spaces of random variables. Colloquium on combinatorial methods in probability theory. August 1–10, 1962, in Aarhus, Denmark, pp. 84–89.

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  8. Papangelou, F.: Concepts of algebraic convergence and completion of abelian lattice groups and Boolean algebras. Doctoral dissertation. University of Athens, Greece (in Greek, English abstract). Bull. Soc. Math. Grèce. N.S.3, Fasc.2 (1962) pp. 26–114.

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  9. Papangelou, F.: Order convergence and topological completion of commutative lattice groups. Math. Ann. 155 (1964) pp. 81–107.

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Authors
  1. Demetrios A. Kappos
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© 1967 Springer-Verlag

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Kappos, D.A. (1967). Representation of abstract L-spaces. In: Symposium on Probability Methods in Analysis. Lecture Notes in Mathematics, vol 31. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061114

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  • DOI: https://doi.org/10.1007/BFb0061114

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-03902-0

  • Online ISBN: 978-3-540-34970-9

  • eBook Packages: Springer Book Archive

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