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math.OA2025
Products and factorization in operator systems
Adam Dor-On, Travis B. Russell
We study unital operator spaces endowed with a partially defined product. We give a matrix-norm characterization of such products that allows for a representation theorem where the…
math.OA2025
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…
math.OA2019
Two-outcome synchronous correlation sets and Connes' embedding problem
Travis B. Russell
We show that Connes' embedding problem is equivalent to the weak Tsirelson problem in the setting of two-outcome synchronous correlation sets. We further show that the extreme poin…