Convergence of adapted sequences of Pettis-integrable functions

DOI10.2140/PJM.1984.114.345zbMath0514.46028OpenAlexW2055755550MaRDI QIDQ1051224

Leo Egghe

Publication date: 1984

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1984.114.345

zbMATH Keywords

adaptive sequences of Pettis-integrable functionsPettis uniform integrabilityPettis-topologypointwise convergence results of martingalespramartssigma-bounded variationstrongly measurable Pettis-integrable limitweak sequential amarts

Mathematics Subject Classification ID

Generalizations of martingales (60G48) Banach lattices (46B42) Vector-valued measures and integration (46G10) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Martingales and classical analysis (60G46)

Related Items (3)

Set valued Aumann-Pettis integrable martingale representation theorem and convergence ⋮ Conditional expectation of Pettis integrable random sets: existence and convergence theorems ⋮ Unnamed Item

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