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math.OA2026
Amenable traces and the joint numerical radius
Vern I. Paulsen, Mizanur Rahaman, Ebrahim Samei
We provide necessary and sufficient characterizations of the existence of an amenable trace on a C-algebra in terms of the joint free numerical radius of tuples of unitaries, i…
math.OA2025
Exactness and LLP Results via Operator System Methods
Kenneth R. Davidson, Vern I. Paulsen, Mizanur Rahaman
In this paper, we employ operator system techniques to investigate structural properties of C*-algebras. In particular, we provide more direct proofs of results concerning exactnes…
math.OA2024
Completely Bounded Norms of -positive Maps
Guillaume Aubrun, Kenneth R. Davidson, Alexander Müller-Hermes +2
Given an operator system , we define the parameters (resp. ) defined as the maximal value of the completely bounded norm of a unit…