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most citedThe ratio set of the harmonic measure of a random walk on a hyperbolic group

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math.OA2026

Operator-valued maximal -divergences for completely positive maps

Rui Okayasu

We introduce an operator-valued maximal f-divergence for completely positive (CP) maps between von Neumann algebras, associated with an operator convex function f on (0,+infinity).…

math.OA2026

Geometric mean and Lebesgue-type decomposition of completely positive maps

Rui Okayasu

We introduce the geometric mean and the parallel sum of completely positive (CP) maps between von Neumann algebras, based on the Pusz--Woronowicz theory of positive sesquilinear fo…