Noncommutative decomposition theorems in Riesz spaces

Paolo De Lucia, Pedro Morales
1994 Proceedings of the American Mathematical Society  
We show that an additive function denned on an orthomodular poset and taking its values in the positive cone of a normed Riesz space admits a Lebesgue Decomposition and a Yosida-Hewitt Decomposition.
doi:10.1090/s0002-9939-1994-1203982-0 fatcat:xetsymvk65axnczcpdbme62o2m