On multiparameter ergodic and martingale theorems in infinite measure spaces

DOI10.1007/BF00699037zbMath0594.60009OpenAlexW2056709683MaRDI QIDQ1077067

Nikolaos E. Frangos, Louis Sucheston

Publication date: 1986

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00699037

zbMATH Keywords

order continuous Banach latticeDunford-Schwartz ergodic theoremmultiparameter convergence theoremsmultiparameter pointwise ergodic theorems and martingale theorems

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Strong limit theorems (60F15) Ergodic theory of linear operators (47A35) Banach lattices (46B42) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (6)

Multiparameter ergodic theorems of abelian type for power-bounded operators ⋮ Modulated \((C,\alpha)\)-ergodic theorems with non-integral orders for Dunford-Schwartz operators ⋮ Multiparameter ratio ergodic theorems for semigroups ⋮ Almost everywhere convergence of multiple operator averages for affine semigroups ⋮ Vector Valued Martingale-Ergodic and Ergodic-Martingale Theorems ⋮ A ratio ergodic theorem in archimedean Riesz spaces

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