6 papers · 1 filter
The Riesz-Kantorovich formulas for -vector lattices
Tomas Chamberlain, Marten Wortel
Let be a Dedekind complete unital -algebra. We prove the Riesz-Kantorovich formulas for order bounded -module homomorphisms from a directed partially or…
Infinite dimensional symmetric cones and gauge-reversing maps
Bas Lemmens, Mark Roelands, Marten Wortel
The famous Koecher-Vinberg theorem characterises the finite dimensional formally real Jordan algebras among the finite dimensional order unit spaces as the ones that have a symmetr…
Artinian and Noetherian vector lattices
Marko Kandić, Mark Roelands, Marten Wortel
In this paper, we study Artinian and Noetherian properties in vector lattices and provide a concrete representation of these spaces. Furthermore, we describe for which Archimedean…
Order isomorphisms on order intervals of atomic JBW-algebras
Mark Roelands, Marten Wortel
In this paper a full description of order isomorphisms between effect algebras of atomic JBW-algebras is given. We will derive a closed formula for the order isomorphisms on the ef…
Lexicographic cones and the ordered projective tensor product
Marten Wortel
We introduce lexicographic cones, a method of assigning an ordered vector space $\Lex(S)$ to a poset , generalising the standard lexicographic cone. These lexicographic cones ar…
Equivalence after extension and Schur coupling coincide for inessential operators
S. ter Horst, M. Messerschmidt, A. C. M. Ran +2
In recent years the coincidence of the operator relations equivalence after extension (EAE) and Schur coupling (SC) was settled for the Hilbert space case. For Banach space operato…