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math.FA2026
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…
math.FA2026
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…
math.FA2026
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…