46 citations · 341 across the 74 of their papers we have counts for
90 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…
Compact convex sets and bases--classical and noncommutative
David P. Blecher, Christiaan H. Pretorius
Matrix and noncommutative convexity constitute an important area of modern noncommutative analysis and have found significant applications in mathematical physics. In the first par…
Base norm spaces--classical, complex, and noncommutative
David P. Blecher, Damon M. Hay
We generalize the theory of base norm spaces to the complex case, and further to the noncommutative setting relevant to `quantum convexity'. In particular, we establish the duality…
Regularity of compact convex sets--classical and noncommutative
David P. Blecher
The classical theory of regularity of embeddings of compact convex sets was developed in the 1970s, exclusively in the real case, and even there it does not appear to have been sta…
Real decomposable maps on operator systems
David P. Blecher, Christiaan H. Pretorius
We initiate and study the theory of ``real decomposable maps" between real operator systems. Formally, this is new even in the complex case, which hitherto has restricted itself to…
Commutativity of operator algebras
David P. Blecher
We call an operator algebra A {\em reversible} if A with reversed multiplication is also an abstract operator algebra (in the modern operator space sense). This class of operator a…