Characterisation of conditional weak mixing via ergodicity of the tensor product in Riesz spaces

DOI10.1016/j.jmaa.2023.127074OpenAlexW3120175464MaRDI QIDQ2698053

Mohamed Amine Ben Amor, Wen-Chi Kuo, Jonathan Homann, Bruce Alastair Watson

Publication date: 14 April 2023

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

Full work available at URL: https://arxiv.org/abs/2101.00207

zbMATH Keywords

ergodicitytensor productsweak mixingRiesz spacesconditional expectation operatorsband projections

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Ordered topological linear spaces, vector lattices (46A40) Tensor products in functional analysis (46M05)

Cites Work

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• \(L^p\)-spaces with respect to conditional expectation on Riesz spaces
• Tensor products of Archimedean partially ordered vector spaces
• Ergodic theory and the strong law of large numbers on Riesz spaces
• Banach lattices
• Mixing inequalities in Riesz spaces
• Conditional expectations on Riesz spaces
• Mixingales on Riesz spaces
• Jensen's and martingale inequalities in Riesz spaces
• The Hájek-Rényi-Chow maximal inequality and a strong law of large numbers in Riesz spaces
• Tensor products of \(f\)-algebras
• AN f-ALGEBRA APPROACH TO THE RIESZ TENSOR PRODUCT OF ARCHIMEDEAN RIESZ SPACES
• Subadditive mean ergodic theorems
• The tensor product of f-algebras
• Ergodicity in Riesz Spaces
• Tensor Products of Archimedean Vector Lattices
• A Koopman-von Neumann type theorem on the convergence of Cesàro means in Riesz spaces

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