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math.FA2025
Best approximation from the positive cone of an inner product lattice
Marouen Abdouli, Karim Boulabiar
Let be a directed (i.e., positively generated) ordered vector space endowed with an inner product. In this note, we prove that the following statements are equivalent: i) i…
math.FA2025
Intermediate algebras in Archimedean semiprime f-algebras
Karim Boulabiar
We introduce the notion of bounded quasi-inversion closed semiprime f-algebras and we prove that, if A is such an algebra, then any intermediate algebra in A is an order ideal of A…