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math.FA2025
Central operators on complex Banach lattices
Marcel de Jeu, Xingni Jiang
We show that the centre of a Dedekind complete complex Banach lattice is a commutative -algebra in the order unit norm. This implies that the order unit norm and t…
math.FA2024
Spectral theorems for positive algebra homomorphisms
Marcel de Jeu, Xingni Jiang
Let be a locally compact Hausdorff space, let be a partially ordered algebra, and let be a positive algebra homomorphism. Under co…