Lipschitz Isomorphisms Of Compact Quantum Metric Spaces

ARCHEOMATICA-TECNOLOGIE PER I BENI CULTURALI（2021）

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摘要

A compact quantum metric space is a complete order unit space endowed with a Lip-norm. We study morphisms and isomorphisms between compact quantum metric spaces. We give two sufficient conditions for a unital positive linear map of a compact quantum metric space with lower semicontinuous Lip-norm to be in fact a bi-Lipschitz map.

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关键词

compact quantum metric space, Lip-norm, Lipschitz morphism, asymptotically nonexpansive map, asymptotically expansive map, bi-Lipschitz map, Lipschitz isometry

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