A Banach lattice approach to convergent integrably bounded set-valued martingales and their positive parts

DOI10.1016/j.jmaa.2007.12.013zbMath1160.60015OpenAlexW1991326268MaRDI QIDQ2481889

Coenraad C. A. Labuschagne

Publication date: 15 April 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.12.013

zbMATH Keywords

Banach latticeBanach spaceMartingaleLebesgue-Bochner spaceMetric spaceVector latticeHiai-Umegaki spaceMeasure spaceMeasure-free martingale

Mathematics Subject Classification ID

Generalizations of martingales (60G48) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items

Set-valued and fuzzy stochastic differential equations in M-type 2 Banach spaces ⋮ Henstock multivalued integrability in Banach lattices with respect to pointwise non atomic measures

Cites Work

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• Limit theorems and applications of set-valued and fuzzy set-valued random variables
• Partial ordering in the theory of martingales
• Differentials of fuzzy functions
• Martingales in Banach lattices
• A description of norm-convergent martingales on vector-valued \(L^p\)-spaces
• Optimality conditions for mass design problems and applications to thin plates
• Periodic solutions for semi-linear evolution inclusions
• Integrals, conditional expectations, and martingales of multivalued functions
• Convergence of set valued sub- and supermartingales in the Kuratowski-Mosco sense
• Central limit theorems for generalized set-valued random variables
• Conditional expectations on Riesz spaces
• The finitely additive integral of multifunctions with closed and convex values
• Birkhoff integral for multi-valued functions
• Discrete-time stochastic processes on Riesz spaces.
• On quasivector spaces of convex bodies and zonotopes
• Martingales of vector valued set functions
• Characterization of Extremal Controls for Infinite Dimensional Time-Varying Systems
• Convergence of Martingales with a Directed Index Set
• Characterization of set-valued conditional expectation
• Convergence of multivalued mils and pramarts in spaces without the RNP
• A vector lattice version of r˚ adström's embedding theorem
• A Martingale Convergence Theorem in Vector Lattices
• Sur les multi-applications mesurables
• Orlicz spaces of finitely additive set functions
• Applications of Radon-Nikodým theorems to martingales of vector valued functions
• An Embedding Theorem for Spaces of Convex Sets
• The mystery of intervals
• Markets with many more agents than commodities Aumann's ``hidden assumption