Independences of operator algebras and joint spectrum of operators

DOI10.1080/03081087.2012.696248zbMath1278.47014OpenAlexW1995241329MaRDI QIDQ5300043

Li Xu, Shuilin Jin

Publication date: 24 June 2013

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2012.696248

zbMATH Keywords

Taylor joint spectrumfaithful state\(C^\ast\)-independence

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Tensor products of (C^*)-algebras (46L06)

Related Items (1)

Joint spectrum and joint distribution

Cites Work

• \(C^*\)-independence, product states and commutation
• Logically independent von Neumann lattices
• Independence of local algebras in quantum field theory
• A joint spectrum for several commuting operators
• The analytic-functional calculus for several commuting operators
• Independence of group algebras
• ON THE INDEPENDENCE OF LOCAL ALGEBRAS IN QUANTUM FIELD THEORY
• On the statistical independence of algebras of observables
• An Algebraic Approach to Quantum Field Theory
• Unnamed Item

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