2021/01/01 by Mohamed Amine Ben Amor, Amor, Mohamed Amine Ben, Jonathan M. Homann +5
Mathematics · #37A25 #46A40 #47A35 #60F05 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Dedekind cut #Dynamical Systems (math.DS) #Ergodic theory #Ergodicity #FOS: Mathematics #Functional Analysis (math.FA) #Geometry #Mathematical Analysis and Transform Methods #Mathematics #Mixing (physics) #Order (exchange) #Physics #Probability (math.PR) #Product (mathematics) #Pure mathematics #Statistics #Tensor (intrinsic definition) #Tensor contraction #Tensor product #Tensor product of Hilbert spaces
paper · pdf · doi:10.48550/arxiv.2101.00207
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2021/01/01 · openalex created_date 2022/11/14 · openalex updated_date 2026/08/08
We link conditional weak mixing and ergodicity of 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. In order to achieve this we characterise the components of the weak order units in the tensor product of two Dedekind complete Riesz spaces with weak order units.