On the infimum problem of Hilbert space effects

DOI10.1007/s11425-006-0545-3zbMath1118.47059OpenAlexW2124334241MaRDI QIDQ862700

Qihui Li, Chun-Yuan Deng, Hong-Ke Du

Publication date: 24 January 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-006-0545-3

zbMATH Keywords

positive operatorquantum effectinfimum of quantum effects

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Positive linear operators and order-bounded operators (47B65) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (5)

On parallel sum of operators ⋮ Number and phase: complementarity and joint measurement uncertainties ⋮ Spectral representation of infimum of bounded quantum observables ⋮ Complementary observables in quantum mechanics ⋮ A representation theorem of infimum of bounded quantum observables

Cites Work

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• Infima of Hilbert space effects
• Preservers on Hilbert space effects.
• Sequential product of quantum effects
• A note on commutativity up to a factor of bounded operators
• Another Generalization of Anderson's Theorem
• Lattice properties of quantum effects
• Order Properties of Bounded Self-Adjoint Operators

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