5 citations · 14 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
Simultaneous power factorization in modules over Banach algebras
Marcel de Jeu, Xingni Jiang
Let be a Banach algebra with a bounded left approximate identity , let be a continuous representation of on a Banach space , and let be a non-em…