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On sub- and superpramarts with values in a banach lattice

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Measure Theory Oberwolfach 1981

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 945))

Abstract

The paper is divided in three parts. In the first part we reprove and extend a result of J. Szulga and one of L. Blake concerning general sub- and supermartingales. The second part is concerned with positive superpramarts. We determine those Banach lattices in which every class (B) positive superpramart weakly converges a.s.,

In the last part, we deal with positive subpramarts and their strong convergence in Banach lattices with (RNP), extending a result of H. Heinich. Several open problems are stated.

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References

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Author information

Authors and Affiliations

  1. L.U.C., Universitaire Campus, B-3610, Diepenbeek, Belgium

    L. Egghe

Authors
  1. L. Egghe
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Editor information

D. Kölzow D. Maharam-Stone

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© 1982 Springer-Verlag

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Egghe, L. (1982). On sub- and superpramarts with values in a banach lattice. In: Kölzow, D., Maharam-Stone, D. (eds) Measure Theory Oberwolfach 1981. Lecture Notes in Mathematics, vol 945. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096691

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  • DOI: https://doi.org/10.1007/BFb0096691

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11580-9

  • Online ISBN: 978-3-540-39324-5

  • eBook Packages: Springer Book Archive

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