2 citations · 4 across the 5 of their papers we have counts for
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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…
Strong completeness of a class of L2-type Riesz spaces
Anke Kalauch, Wenchi Kuo, Bruce Watson
Strong convergence and convergence in probability were generalized to the setting of a Riesz space with conditional expectation operator, T, in [Y. Azouzi, W.-C. Kuo, K. Ramdane, B…
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…