41 citations · 136 across the 23 of their papers we have counts for
26 papers
Quantum integrals
David P. Blecher, Louis E. Labuschagne
We first solve in ZFC a problem that the first author and Weaver posed ten years ago: a state on a von Neumann algebra is countably additive on orthogonal projections if and only i…
On a class of subdiagonal algebras
David P. Blecher, Louis E. Labuschagne
We investigate some new classes of operator algebras which we call semi--finite subdiagonal and Riesz approximable. These constitute the most general setting to date for a nonco…
Abelian von Neumann algebras, measure algebras and L^\infty-spaces
David P. Blecher, Stanislaw Goldstein, Louis E. Labuschagne
We give a fresh account of the astonishing interplay between abelian von Neumann algebras, L^\infty-spaces and measure algebras, including an exposition of Maharam's theorem from t…
Quantum Fokker-Planck Dynamics
Louis Labuschagne, W. Adam Majewski
The Fokker-Planck equation is a partial differential equation which is a key ingredient in many models in physics. This paper aims to obtain a quantum counterpart of Fokker-Planck…
Von Neumann algebra conditional expectations with applications to generalized representing measures for noncommutative function algebras
David P. Blecher, Louis E. Labuschagne
We establish several deep existence criteria for conditional expectations on von Neumann algebras, and then apply this theory to develop a noncommutative theory of representing mea…
On vector-valued characters for noncommutative function algebras
David P. Blecher, Louis E. Labuschagne
Let A be a closed subalgebra of a C*-algebra, that is a closed algebra of Hilbert space operators. We generalize to such operator algebras several key theorems and concepts fro…