Some results on matrix means

DOI10.1007/s43036-019-00036-7zbMath1450.15020OpenAlexW3001323611MaRDI QIDQ782514

Mitsuru Uchiyama

Publication date: 27 July 2020

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43036-019-00036-7

zbMATH Keywords

operator monotone functionmatrix geometric meanmatrix harmonic mean

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Operator means involving linear operators, shorted linear operators, etc. (47A64) Applications of generalized inverses (15A10)

Related Items (3)

Geometric Mean and Matrix Quadratic Equations ⋮ Operator means and matrix quadratic equations ⋮ Symmetric matrix means

Cites Work

• Unnamed Item
• Functional calculus for sesquilinear forms and the purification map
• Means of positive linear operators
• The Schwarz inequality via operator-valued inner product and the geometric operator mean
• Some results on strongly operator convex functions and operator monotone functions
• Operator means and positivity of block operators
• Operator inequalities related to Cauchy-Schwarz and Hölder-McCarthy inequalities
• Series and parallel addition of matrices
• Operator monotone functions, positive definite kernels and majorization
• Operator functions and the operator harmonic mean

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