Equivalence relations among Reid, Löwner-Heinz and Heinz-Kato inequalities, and extensions of these inequalities

DOI10.1007/BF01191475zbMath0901.47013OpenAlexW2047510500MaRDI QIDQ1378101

Takayuki Furuta

Publication date: 4 March 1998

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01191475

zbMATH Keywords

equivalence relationsFuruta inequalityLöwner-Heinz inequalityReid inequalityHeinz-Kato inequality

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63)

Related Items

Inequalities of Reid type and Furuta ⋮ Generalizations of Furuta's inequality ⋮ Applications of Kato's inequality for \(n\)-tuples of operators in Hilbert spaces. I ⋮ Some inequalities of Kato type for sequences of operators in Hilbert spaces ⋮ APPLICATIONS OF KATO'S INEQUALITY TO OPERATOR-VALUED INTEGRALS ON HILBERT SPACES ⋮ Unnamed Item ⋮ Applications of Kato's inequality for \(n\)-tuples of operators in Hilbert spaces. II ⋮ Some inequalities for trace class operators via a Kato’s result ⋮ Some inequalities of Furuta's type for functions of operators defined by power series

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