Positivity, betweenness, and strictness of operator means

DOI10.1155/2015/851568zbMath1439.47012arXiv1408.5701OpenAlexW2134197998WikidataQ59101443 ScholiaQ59101443MaRDI QIDQ1668884

Pattrawut Chansangiam

Publication date: 29 August 2018

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.5701

zbMATH Keywords

positivitystrictnessbetweennessBorel measuresoperator equationsoperator meansoperator inequalities, operator monotone functions

Mathematics Subject Classification ID

Monotonic functions, generalizations (26A48) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (2)

A survey on operator monotonicity, operator convexity, and operator means ⋮ Cancellability and regularity of operator connections with applications to nonlinear operator equations involving means

Cites Work

• Jensen's inequality for operators and Loewner's theorem
• Means of positive linear operators
• Über monotone Matrixfunktionen
• Characterizations of connections for positive operators
• Series and parallel addition of matrices
• Matrix Analysis: Matrix Monotone Functions, Matrix Means, and Majorization
• A new positive definite geometric mean of two positive definite matrices

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