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math.OA2025★ 1 cited
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…
math.OA2025
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.
math.OA2025
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…