Convergence of Submartingales in Banach Lattices

Jerzy Szulga; Wojbor A. Woyczynski

doi:10.1214/aop/1176996095

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Home > Journals > Ann. Probab. > Volume 4 > Issue 3 > Article

June, 1976 Convergence of Submartingales in Banach Lattices

Jerzy Szulga, Wojbor A. Woyczynski

Ann. Probab. 4(3): 464-469 (June, 1976). DOI: 10.1214/aop/1176996095

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Abstract

We discuss analogues of Doob's convergence theorem for submartingales with values in Banach lattices with the Radon-Nikodym property.

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Jerzy Szulga. Wojbor A. Woyczynski. "Convergence of Submartingales in Banach Lattices." Ann. Probab. 4 (3) 464 - 469, June, 1976. https://doi.org/10.1214/aop/1176996095

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Published: June, 1976

First available in Project Euclid: 19 April 2007

zbMATH: 0402.60008

MathSciNet: MR405577

Digital Object Identifier: 10.1214/aop/1176996095

Subjects:

Primary: 60G45

Secondary: 60B99

Keywords: Banach lattice , Radon-Nikodym property , submartingale

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Ann. Probab.

Vol.4 • No. 3 • June, 1976

Institute of Mathematical Statistics

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Jerzy Szulga, Wojbor A. Woyczynski "Convergence of Submartingales in Banach Lattices," The Annals of Probability, Ann. Probab. 4(3), 464-469, (June, 1976)

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