2 papers
math.FA2026
Order Boundedness of Order Continuous Orthogonally Additive Operators
Ayşe Uyar
We prove that, under suitable assumptions, the space of order continuous orthogonally additive operators between Riesz spaces is a Riesz space. As a consequence, we give a negative…
math.FA2026
A General Framework for Operator Continuity between Riesz Spaces
Ayse Uyar
We introduce and study -order continuous operators between Riesz spaces, based on Tantrawan's generalized (unbounded) order convergence. This framework includes sever…