Matrix Hölder-McCarthy inequality via matrix geometric means

DOI10.1007/s43036-020-00044-yzbMath1450.15019OpenAlexW3007225886MaRDI QIDQ782519

Ryosuke Nakayama, Reo Tojo, Yuki Seo

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/s43036-020-00044-y

zbMATH Keywords

matrix inequalitiespositive definite matrixHölder-McCarthy inequalityquasi-arithmetic power mean

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Miscellaneous inequalities involving matrices (15A45) Operator means involving linear operators, shorted linear operators, etc. (47A64) Applications of generalized inverses (15A10)

Cites Work

• Tsallis relative operator entropy with negative parameters
• On the matrix monotonicity of generalized inversion
• Zur Theorie der elementaren Mittel
• Matrix versions of the Cauchy and Kantorovich inequalities
• Operator-valued inner product and operator inequalities
• Functional calculus for sesquilinear forms and the purification map
• Means of positive linear operators
• Operator inequalities associated with Hölder-McCarthy and Kantorovich inequalities
• The Schwarz inequality via operator-valued inner product and the geometric operator mean
• Some matrix inequalities
• On a Generalization of an Inequality of L. V. Kantorovich
• Matrix Wielandt inequality via the matrix geometric mean
• ROUNDING-OFF ERRORS IN MATRIX PROCESSES
• Introduction to matrix analysis and applications
• More operator versions of the Schwarz inequality
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