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Ben Amor, Mohamed Amine; Homann, Jonathan; Kuo, Wen-Chi; Watson, Bruce A.
Journal of mathematical analysis and applications, 08/2023, Volume: 524, Issue: 2Journal Article
We link conditional weak mixing and ergodicity via the tensor product in Riesz spaces. In particular, we characterise conditional weak mixing of a conditional expectation preserving system by the ergodicity of its tensor product with itself or other ergodic systems. Along the way we characterise components of weak order units in the tensor product space in terms of tensor products of components of weak order units.
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