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math.FA2025
Classical theorems from analysis for locally band preserving functions on Dedekind complete -algebras
Eder Kikianty, Luan Naude, Mark Roelands +1
In this paper we explore the concept of locally band preserving functions, introduced by Ercan and Wickstead, on Dedekind complete -algebras. Specifically, we show that all supe…
math.FA2025
An order-theoretic characterization of JB-algebras
Mark Roelands, Samuel Tiersma
We give an order-theoretic characterization of the JB-algebras among the complete order unit spaces in terms of the existence of an order-anti-automorphism of the interior of the c…
math.FA2025
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…