A note on operator probability theory involving numerical ranges

DOI10.1016/j.laa.2011.06.006zbMath1232.47004OpenAlexW1984176195MaRDI QIDQ716437

Yan-Ni Dou, Hong-Ke Du

Publication date: 22 September 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.06.006

zbMATH Keywords

numerical rangeoperator probability theory

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Applications of operator theory in probability theory and statistics (47N30)

Cites Work

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• Numerical ranges of weighted shifts
• Fixed points of dual quantum operations
• Inequalities for commutators of positive operators
• Sequential products of quantum measurements
• Norms of commutators of self-adjoint operators
• The norm of a derivation
• Sequential quantum measurements
• Fixed points of quantum operations
• A generalization of Gudder–Nagy's theorem with numerical ranges of operators

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