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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A quotient-encoding framework unifies definability analysis for Banach-type structures and countable algebras, placing properties such as nuclearity, simplicity, and AF-ness at specific Borel levels with some optimality results.
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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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Polish spaces for countable and separable structures through quotient encodings
A quotient-encoding framework unifies definability analysis for Banach-type structures and countable algebras, placing properties such as nuclearity, simplicity, and AF-ness at specific Borel levels with some optimality results.