3 papers
math.FA2020
Dissipativity and positive off-diagonal property of operators on ordered Banach spaces
Feng Zhang, Onno van Gaans
In this paper, we provide a sublinear function on ordered Banach spaces, which depends on the order structure of the space. With respect to this , we study the relation betw…
math.FA2018
Domination properties and extension of positive compact operators on pre-Riesz spaces
Onno van Gaans, Feng Zhang
This paper concerns positive domination property of compact operators on pre-Riesz spaces. The method is embedding the pre-Riesz space to the Riesz completion. It extends the order…
math.FA2016
Disjointness preserving -semigroups and local operators on ordered Banach spaces
Anke Kalauch, Onno van Gaans, Feng Zhang
We generalize results concerning -semigroups on Banach lattices to a setting of ordered Banach spaces. We prove that the generator of a disjointness preserving $\math…