5 papers
A functional representation approach to vector lattice covers for spaces of compact operators
Onno van Gaans, Jochen Glück, Anke Kalauch
For ordered normed vector spaces , we consider the space of bounded linear operators and characterize when its cone of positive operators has non-empty int…
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…
Monotone dynamical systems with dense periodic points
Bas Lemmens, Onno van Gaans, Hent van Imhoff
In this paper we prove a recent conjecture by M. Hirsch, which says that if is a discrete time monotone dynamical system, with a homeomorphism on an open co…
Stochastic Integration in Banach Spaces using a product structure with partial order
Joris Bierkens, Onno van Gaans
Using a multiplicative structure (for example that of a Banach algebra) and a partial order we construct a weak version of a Banach space valued stochastic integral with respect to…
Second derivatives of norms and contractive complementation in vector-valued spaces
Bas Lemmens, Beata Randrianantoanina, Onno van Gaans
We consider 1-complemented subspaces (ranges of contractive projections) of vector-valued spaces , where is a Banach space with a 1-unconditional basis and $p \in (1…