7 papers
Adjoints, Order and Spectral Moduli on
Mohamed Amine Ben Amor
We study adjoints of -linear, -strongly bounded operators on the conditional space and the interaction between its Hilbert-type geometry and its Riesz-space order…
Conditional supremum in Riesz spaces and applications
Youssef Azouzi, Mohamed Amine Ben Amor, Dorsaf Cherif +1
We extend the concept of conditional supremum to the measure-free setting of Riesz spaces via the conditional expectation operator. We explore its properties and show how this tool…
Conditional expectation operators on
Mohamed Amine Ben Amor
At the COSAEF conference in 2021, several participants asked the question whether a conditional expectation operator in the sense of Kuo, Labaushagne and Watson could be constructe…
The Kac formula and Poincaré recurrence theorem in Riesz spaces
Youssef Azouzi, Mohamed Amine Ben Amor, Jonathan Homann +2
Riesz space (non-pointwise) generalizations for iterative processes are given for the concepts of recurrence, first recurrence and conditional ergodicity. Riesz space conditional v…
Tensor products of Bands and Ideals
Mohamed Amine Ben Amor, Omer Gok, Damla Yaman
In this study we give an answer to the open question about the Riesz tensor product of ideals and bands of a Riesz space. We prove among other results that the Dedekind completion…
Characterisation of conditional weak mixing via ergodicity of the tensor product in Riesz Spaces
Mohamed Amine Ben Amor, Jonathan M. Homann, Wenchi Kuo +1
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…