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

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

Ben Amor, Mohamed Amine; Homann, Jonathan; Kuo, Wen-Chi; Watson, Bruce A.

Journal of mathematical analysis and applications, 08/2023, Volume: 524, Issue: 2

Journal 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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Ben Amor, Mohamed Amine | Homann, Jonathan | Kuo, Wen-Chi | Watson, Bruce A.

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