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Probability Theory on Vector Spaces pp 251–256Cite as

Boundedness and convergence of banach lattice valued submartingales

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 656))

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References

  1. S.D. Chaterji, Martingale convergence and the Radon-Nikodym theorem in Banach spaces, Math. Scand., 22 (1968), 21–41.

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  2. S. Kakutani, Concrete representation of abstract L-spaces and the mean ergodic theorem, Ann. of Math., 42 (1941), 523–537.

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  3. J. Neveu, Martingales a Temps Discrete, Paris 1972.

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  4. F. Scalora, Abstract martingale convergence theorem, Pacific. J. Math., 11 (1961), 347–374.

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  5. H.H. Schaefer, Banach Lattices and Positive Operators, Berlin-Heidelberg-New York 1974.

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  6. J. Szulga-W.A. Woyczyński, Convergence of submartingales in Banach lattices, The Ann. of Prob., 4, No.3, (1976), 464–469.

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Authors and Affiliations

  1. Mathematical Institute, Wrocław University, Pl. Grunwaldzki 2/4, 50-384, Wrocław, Poland

    Jerzy Szulga

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  1. Jerzy Szulga
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A. Weron

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© 1978 Springer-Verlag

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Szulga, J. (1978). Boundedness and convergence of banach lattice valued submartingales. In: Weron, A. (eds) Probability Theory on Vector Spaces. Lecture Notes in Mathematics, vol 656. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068824

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  • DOI: https://doi.org/10.1007/BFb0068824

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08846-2

  • Online ISBN: 978-3-540-35814-5

  • eBook Packages: Springer Book Archive

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