Matrix Ostrowski inequality via the matrix geometric mean

DOI10.7153/jmi-2020-14-89zbMath1462.15024OpenAlexW3116881133MaRDI QIDQ5858286

Yuki Seo, Ryosuke Nakayama, Reo Tojo

Publication date: 12 April 2021

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2020-14-89

zbMATH Keywords

matrix inequalitiesOstrowski inequalityCauchy-Schwarz inequalitymatrix geometric meanmatrix Cauchy-Schwarz inequality

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)

Related Items (1)

Cauchy–Schwarz Operator and Norm Inequalities for Inner Product Type Transformers in Norm Ideals of Compact Operators, with Applications

Cites Work

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• Operator-valued inner product and operator inequalities
• Functional calculus for sesquilinear forms and the purification map
• Means of positive linear operators
• Matrix Wielandt inequality via the matrix geometric mean

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