Almost sure convergence and decomposition of multivalued random processes

DOI10.1216/rmjm/1181071642zbMath0943.60008OpenAlexW2069869467MaRDI QIDQ1806229

Nikolaos S. Papageorgiou, Evgenios P. Avgerinos

Publication date: 30 August 2000

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol29-2/CONT29-2/CONT29-2.html

zbMATH Keywords

weak convergenceMosco convergenceWijsman convergencesubmartingalesRiesz decompositionuniform amartsweak sequential amartsamarts of finite ordermultivalued conditional expectation

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Generalizations of martingales (60G48) Measures and integration on abstract linear spaces (46G12) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (1)

Properties of solutions to stochastic set differential equations under non-Lipschitzian coefficients

Cites Work

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• Stopping Time Techniques for Analysts and Probabilists
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• Convergence and representation theorems for set valued random processes
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