Applications of Kato's inequality for \(n\)-tuples of operators in Hilbert spaces. I

DOI10.1186/1029-242X-2013-21zbMath1294.47028WikidataQ59294539 ScholiaQ59294539MaRDI QIDQ389153

Young-Ho Kim, Yeol Je Cho, Sever Silvestru Dragomir

Publication date: 17 January 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

bounded linear operatorsKato's inequalityfunctions of normal operatorsinequalities for operatorsnorm and numerical radius inequalities

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Several-variable operator theory (spectral, Fredholm, etc.) (47A13)

Cites Work

• Some inequalities in inner product spaces related to the generalized triangle inequality
• Notes on some inequalities for Hilbert space operators
• Equivalence relations among Reid, Löwner-Heinz and Heinz-Kato inequalities, and extensions of these inequalities
• Norm inequalities for fractional powers of positive operators
• Some inequalities of Kato type for sequences of operators in Hilbert spaces
• \(c_ p\)
• Notes on some inequalities for linear operators
• Further extension of the Heinz-Kato-Furuta inequality
• Extensions of Heinz-Kato-Furuta inequality
• Cauchy-schwarz functionals

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