2 papers
math.OA2025
An extension of Haagerup's reduction theorem with applications to subdiagonal subalgebras of general von Neumann algebras
Louis Labuschagne, Quanhua Xu
We revisit Haagerup's enigmatic reduction theorem \cite[Theorems 2.1 \& 3.1]{HJX} showing how that theorem may be extended to general von Neumann algebras $\M$ equipped with an arb…
math.OA2018
Multiplication operators on non-commutative spaces
Pierre de Jager, Louis Labuschagne
Boundedness and compactness properties of multiplication operators on quantum (non-commutative) function spaces are investigated. For endomorphic multiplication operators these pro…