Measurement representations of ordered, relational structures with archimedean ordered translations
Modular atomic effect algebras and the existence of subadditive states
Lattice effect algebras generalize orthomodular lattices and -algebras. We describe all complete modular atomic effect algebras. This allows us to prove the existence of ordercontinuous subadditive states (probabilities) on them. For the separable noncomplete ones we show that the existence of a faithful probability is equivalent to the condition that their MacNeille complete modular effect algebra.
Monotone functions on symmetric spaces.