• Corpus ID: 230435689

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

@inproceedings{Homann2021CharacterisationOC,
  title={Characterisation of conditional weak mixing via ergodicity of the tensor product in Riesz Spaces},
  author={Jonathan Homann and Wen-Chi Kuo and Bruce A. Watson},
  year={2021}
}
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 all band projections in the tensor product of two Dedekind complete Riesz spaces with weak order units. 

References

SHOWING 1-10 OF 25 REFERENCES
AN f-ALGEBRA APPROACH TO THE RIESZ TENSOR PRODUCT OF ARCHIMEDEAN RIESZ SPACES
Abstract We construct the Riesz tensor product of Archimedean Riesz spaces and derive its properties using functional calculus and f-algebras. We improve results on the approximation of elements in
Tensor products of Archimedean partially ordered vector spaces
We study the tensor product of two directed Archimedean partially ordered vector spaces X and Y by means of Riesz completions. With the aid of the Fremlin tensor product of the Riesz completions of X
The tensor product of f-algebras
Abstract In this paper we prove that the Fremlin tensor product of two f-algebras can be endowed with an f-algebra structure and satisfies an appropriate universal property. In particular, the Riesz
Mixing inequalities in Riesz spaces
Tensor Products of f-algebras
We construct the tensor product for f-algebras, including proving a universal property for it, and investigate how it preserves algebraic properties of the factors.
Riesz Spaces, II
...
1
2
3
...