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math.OA2024
Separation theorems for bounded convex sets of bounded operators
Mikaël Pichot, Erik Séguin
We establish new metric characterizations for the norm (respectively, ultraweak) closure of the convex hull of a bounded set in an arbitrary -algebra (respectively, von Neuman…
math.OA2022
Positive definite maps on amenable groups
Mikaël Pichot, Erik Séguin
We describe conditions that characterize amenability for groups in terms of positive definite functions valued in a von Neumann algebra.