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math.FA2021★ 2 cited
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 con…
math.FA2021★ 5 cited
Riesz representation theorems for positive linear operators
Marcel de Jeu, Xingni Jiang
We generalise the Riesz representation theorems for positive linear functionals on and , where is a locally compact Hausd…
math.FA2021★ 5 cited
Order Integrals
Marcel de Jeu, Xingni Jiang
We define an integral of real-valued functions with respect to a measure that takes its values in the extended positive cone of a partially ordered vector space . The monotone c…