Commutativity, comonotonicity, and Choquet integration of self-adjoint operators

DOI10.1142/S0129055X18500162zbMath1426.46042OpenAlexW2885343773WikidataQ129475801 ScholiaQ129475801MaRDI QIDQ5226408

Massimo Marinacci, Luigi Montrucchio, Simone Cerreia-Vioglio, Fabio Maccheroni

Publication date: 31 July 2019

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

Full work available at URL: https://doi.org/10.1142/s0129055x18500162

zbMATH Keywords

Choquet integralcommutativitycomonotonicityGleason theoremnonlinear Gleason theorem

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Noncommutative measure and integration (46L51) States of selfadjoint operator algebras (46L30) Quantum state spaces, operational and probabilistic concepts (81P16)

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