Vector Valued Martingale-Ergodic and Ergodic-Martingale Theorems

DOI10.1080/07362994.2012.704858zbMath1268.47014arXiv1201.1682OpenAlexW2047886967MaRDI QIDQ4648518

Farruh Shahidi, I. G. Ganiyev

Publication date: 9 November 2012

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

Full work available at URL: https://arxiv.org/abs/1201.1682

zbMATH Keywords

Bochner integrable functionsbounded Besicovich sequenceergodic martingale processpositively dominated operatorvector valued martingale

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Generalizations of martingales (60G48) Ergodic theory of linear operators (47A35) Vector-valued measures and integration (46G10)

Related Items (1)

Convergence of ergodic-martingale paraproducts

Cites Work

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• A martingale ergodic theorem
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• Vector valued ergodic theorems for operators satisfying norm conditions
• Martingale ergodic theorem
• General theories unifying ergodic averages and martingales
• Forcing divergence when the supremum is not integrable
• Martingales of Banach-valued random variables
• On one-parameter proofs of almost sure convergence of multiparameter processes
• Martingale ergodic and ergodic martingale processes with continuous time

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