2 citations · 4 across the 4 of their papers we have counts for
4 papers
Order theoretical structures in atomic JBW-algebras: disjointness, bands, and centres
Onno van Gaans, Anke Kalauch, Mark Roelands
Every atomic JBW-algebra is known to be a direct sum of JBW-algebra factors of type I. Extending Kadison's anti-lattice theorem, we show that each of these factors is a disjointnes…
A Hahn-Jordan decomposition and Riesz-Frechet representation theorem in Riesz spaces
Anke Kalauch, Wen-Chi Kuo, Bruce Alastair Watson
We give a Hahn-Jordan decomposition in Riesz spaces which generalizes that of [{{\sc B. A. Watson}, {An Andô-Douglas type theorem in Riesz spaces with a conditional expectation,} {…
Bands in partially ordered vector spaces with order unit
Anke Kalauch, Bas Lemmens, Onno van Gaans
In an Archimedean directed partially ordered vector space one can define the concept of a band in terms of disjointness. Bands can be studied by using a vector lattice cover $Y…
A Hilbert Space Perspective on Ordinary Differential Equations with Memory Term
Anke Kalauch, Rainer Picard, Stefan Siegmund +2
We discuss ordinary differential equations with delay and memory terms in Hilbert spaces. By introducing a time derivative as a normal operator in an appropriate Hilbert space, we…