55 citations · 143 across the 24 of their papers we have counts for
21 papers · 1 filter
The Operator Systems of Hankel Matrices and Complex Polynomials
Thomas Sinclair, Shengwei Qiu
We investigate the operator system structure of finite Hankel matrices and its connection with complex polynomials on the real line. Using polynomial matrix spectral factorization,…
Approximate factorization properties for operator systems
Roy Araiza, Larissa Kroell, Travis Russell +1
We show that many of the standard nuclearity properties considered in the literature for the hierarchy of operator system tensor products can be expressed as approximate factorizat…
On definability of C*-tensor norms
Isaac Goldbring, Thomas Sinclair
We initiate the study of definability (in the model-theoretic sense) of C*-tensor norms. We show that neither the minimal nor maximal tensor norms are definable uniformly over all…
A short proof of the existence of the injective envelope of an operator space
Thomas Sinclair
We use Ellis' lemma to give a simple proof of the existence of the injective envelope of an operator space first shown by work of Hamana and Ruan.
Totally Bounded Elements in W*-probability Spaces
Hiroshi Ando, Jananan Arulseelan, Isaac Goldbring +2
We introduce the notion of a totally (-) bounded element of a -probability space and, borrowing ideas of Kadison, give an intrinsic characterization of the -su…
Model Theory of Operator Systems and C-Algebras
Thomas Sinclair
We survey the model theory of operator systems and C-algebras.