4 papers · 1 filter
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
Jananan Arulseelan, Isaac Goldbring, Bradd Hart +1
We introduce the notion of a totally (-) bounded element of a W*-probability space and, borrowing ideas of Kadison, give an intrinsic characterization of the -suba…