The arithmetic-geometric mean inequality of indefinite type

DOI10.1007/s00013-021-01615-yOpenAlexW3161539575MaRDI QIDQ2043921

Takashi Sano, Kota Sugawara, Mohammad Sal Moslehian

Publication date: 4 August 2021

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-021-01615-y

zbMATH Keywords

indefinite inner productarithmetic-geometric mean inequality\(J\)-selfadjoint matrix

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (1)

Indefinite matrix inequalities via matrix means

Cites Work

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• On a reverse Heinz-Kato-Furuta inequality
• Extension and interpolation of linear operators and matrix functions
• Means of positive linear operators
• Norm inequalities related to the arithmetic-geometric mean inequalities for positive semidefinite matrices
• Löwner inequality of indefinite type
• Operator convexity in Krein spaces
• Sommerfeld and Ehrenfest – generalising the Bohr model
• Operator inequalities for J-contractions
• Furuta inequality of indefinite type
• Further developments of Furuta inequality of indefinite type
• Refinements of a reversed AM–GM operator inequality
• Inequalities: theory of majorization and its applications

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