Defines relative Kubo-Ando means of completely positive maps dominated by an ambient map and proves independence from Stinespring representations plus order-theoretic properties including monotonicity and data processing.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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math.OA 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
A geometric mean for completely positive maps on von Neumann algebras is constructed via Pusz-Woronowicz forms, shown compatible with Choi matrices in finite dimensions, and used to obtain a unified Lebesgue decomposition.
citing papers explorer
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Relative Kubo-Ando Means of Completely Positive Maps
Defines relative Kubo-Ando means of completely positive maps dominated by an ambient map and proves independence from Stinespring representations plus order-theoretic properties including monotonicity and data processing.
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Geometric Means and Lebesgue-type Decomposition of Completely Positive Maps
A geometric mean for completely positive maps on von Neumann algebras is constructed via Pusz-Woronowicz forms, shown compatible with Choi matrices in finite dimensions, and used to obtain a unified Lebesgue decomposition.