Properties of free entropy related to polar decomposition

DOI10.1007/s002200050589zbMath0934.46063OpenAlexW2090830129MaRDI QIDQ1809302

Fumio Hiai, Dénes Petz

Publication date: 16 December 1999

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200050589

zbMATH Keywords

subadditivityfree entropiesnon-selfadjoint random variablesunitary random variablesVoiculescu's free analysis

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative dynamical systems (46L55)

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Free transportation cost inequalities via random matrix approximation ⋮ Microstates free entropy and cost of equivalence relations ⋮ Strong Haagerup inequalities for free \(\mathfrak R\)-diagonal elements

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