2 citations · 3 across the 7 of their papers we have counts for
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A -algebra whose product does not extend to its Dedekind completion
Mohamed Amine Ben Amor
We construct a Banach lattice -algebra with a strong order unit whose product has no positive associative bilinear extension to its Dedekind completion. This gives a negative an…
Tensor Products of Almost \(f\)-Algebras: A Counterexample
Mohamed Amine Ben Amor
We show that the natural tensor product multiplication of two Archimedean almost \(f\)-algebras does not, in general, extend to their Fremlin tensor product. The two algebras in th…
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…
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…
The tensor product of function algebras
Youssef Azouzi, Mohamed Amine Ben Amor, Jamel Jaber
In this paper we study the tensor product of two -algebras. We show that the Riesz Subspace generated by a subalgebra in an -algebra is an algebra in order to prove that the…
Decomposition of an abstract Uryson operator
M. A. Ben Amor, M. Pliev
We consider the space of abstract Uryson operators firstly introduced in [9]. We obtain the formulas for band projections on the band generated by increasing set of a positive Urys…