46 citations · 341 across the 74 of their papers we have counts for
6 papers · 1 filter
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…
Real Noncommutative Convexity II: Extremality and nc convex functions
David P. Blecher, Caleb Becker McClure
We continue the development of real noncommutative (nc) convexity, building on the recent and profound complex theory of Davidson and Kennedy. The present paper focuses on the theo…
Real Non-Commutative Convexity I
David P. Blecher, Caleb McClure
We initiate the theory of real noncommutative (nc) convex sets, the real case of the recent and profound complex theory developed by Davidson and Kennedy. The present paper focuses…
-ideals: from Banach spaces to rings
David P. Blecher, Amartya Goswami
We introduce and investigate a class of ring ideals, termed ring \emph{-ideals}, inspired by the Alfsen--Effros theory of -ideals in Banach spaces. We show…
Real operator systems
David P. Blecher, Travis B. Russell
Operator systems are the unital self-adjoint subspaces of the bounded operators on a Hilbert space. Complex operator systems are an important category containing the C*-algebras an…