2 citations · 2 across the 2 of their papers we have counts for
10 papers
Prime ideals and Noetherian properties in vector lattices
Marko Kandić, Mark Roelands
In this paper we study the set of prime ideals in vector lattices and how the properties of the prime ideals structure the vector lattice in question. The different properties that…
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…
Order isomorphisms between cones of JB-algebras
Hendrik van Imhoff, Mark Roelands
In this paper we completely describe the order isomorphisms between cones of atomic JBW-algebras. Moreover, we can write an atomic JBW-algebra as an algebraic direct summand of the…
Series and power series on universally complete complex vector lattices
Mark Roelands, Christopher Schwanke
In this paper we prove an th root test for series as well as a Cauchy-Hadamard type formula and Abel's' theorem for power series on universally complete Archimedean complex vect…
Hilbert isometries and maximal deviation preserving maps on JB-algebras
Mark Roelands, Marten Wortel
In this paper we characterize the surjective linear variation norm isometries on JB-algebras. Variation norm isometries are precisely the maps that preserve the maximal deviation,…
An order theoretic characterization of spin factors
Bas Lemmens, Mark Roelands, Hent van Imhoff
The famous Koecher-Vinberg theorem characterizes the Euclidean Jordan algebras among the finite dimensional order unit spaces as the ones that have a symmetric cone. Recently Walsh…
Hilbert and Thompson isometries on cones in JB-algebras
Bas Lemmens, Mark Roelands, Marten Wortel
Hilbert's and Thompson's metric spaces on the interior of cones in JB-algebras are important examples of symmetric Finsler spaces. In this paper we characterize the Hilbert's metri…
Midpoints for Thompson's metric on symmetric cones
Bas Lemmens, Mark Roelands
We characterise the affine span of the midpoints sets for Thompson's metric on symmetric cones in terms of a translation of the zero-component of the Peirce decomposition of an ide…
Isometries of infinite dimensional Hilbert geometries
Bas Lemmens, Mark Roelands, Marten Wortel
In this paper we extend results by De la Harpe concerning the isometries of strictly convex Hilbert geometries, and the characterisation of the isometry groups of Hilbert geometrie…
Unique geodesics for Thompson's metric
Bas Lemmens, Mark Roelands
In this paper a geometric characterization of the unique geodesics in Thompson's metric spaces is presented. This characterization is used to prove a variety of other geometric res…