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math.FA2026
Sharpness Loss for Radon--Nikodym Derivatives of Completely Positive Maps
Mohsen Kian
The Radon--Nikodym theorem for completely positive maps identifies the order interval below a map with positive contractions in the commutant of its minimal Stinespring representat…
math.FA2026
Fractional -positivity: a continuous refinement of the -positive scale
Mohsen Kian
We introduce a real-parameter refinement of the classical integer hierarchies underlying Schmidt number, block-positivity, and -positivity for maps between matrix algebras. Star…