A Martingale Convergence Theorem in Vector Lattices
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Publication:5517317
DOI10.4153/CJM-1966-045-xzbMath0142.14004OpenAlexW2323544917MaRDI QIDQ5517317
Publication date: 1966
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4153/cjm-1966-045-x
Related Items (15)
Martingales in Banach lattices ⋮ The Itô integral for martingales in vector lattices ⋮ Spaces of regular abstract martingales ⋮ Continuous stochastic processes in Riesz spaces: The Doob-Meyer decomposition ⋮ Doob's optional sampling theorem in Riesz spaces ⋮ The Itô integral and near-martingales in Riesz spaces ⋮ Abstract Martingales in Banach Spaces ⋮ The Itô integral for Brownian motion in vector lattices. I ⋮ Bernoulli Processes in Riesz Spaces ⋮ A Banach lattice approach to convergent integrably bounded set-valued martingales and their positive parts ⋮ The Kolmogorov-Čentsov theorem and Brownian motion in vector lattices ⋮ Itô's rule and Lévy's theorem in vector lattices ⋮ Induced actions of \(\mathfrak{B} \)-Volterra operators on regular bounded martingale spaces ⋮ Operator martingale decompositions and the Radon-Nikodým property in Banach spaces ⋮ Unbounded order convergence and application to martingales without probability
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