Cancellability and regularity of operator connections with applications to nonlinear operator equations involving means

DOI10.1186/s13660-015-0934-7zbMath1343.47023OpenAlexW2202672589WikidataQ59427448 ScholiaQ59427448MaRDI QIDQ903209

Pattrawut Chansangiam

Publication date: 5 January 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0934-7

zbMATH Keywords

operator monotone functionoperator meanoperator connection

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Linear operator inequalities (47A63) Equations involving linear operators, with operator unknowns (47A62) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Cites Work

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• Concrete examples of operator monotone functions obtained by an elementary method without appealing to Löwner integral representation
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• Means of positive linear operators
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• Über monotone Matrixfunktionen
• Monotone metrics on matrix spaces
• Series and parallel addition of matrices
• Matrix Analysis: Matrix Monotone Functions, Matrix Means, and Majorization
• Metric adjusted skew information
• Geometries of quantum states
• Introduction to matrix analysis and applications

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