Further extension of the Heinz-Kato-Furuta inequality

DOI10.1090/S0002-9939-99-05266-1zbMath0931.47016MaRDI QIDQ4257611

Mitsuru Uchiyama

Publication date: 31 August 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

operator monotone functionclosed operatorHeinz inequalitypositive definite operatorsLöwner theorynon-negative operator

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Linear symmetric and selfadjoint operators (unbounded) (47B25)

Related Items (11)

On Schwarz type inequalities ⋮ 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 ⋮ Some inequalities for power series of two 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 ⋮ Operator monotone functions which are defined implicitly and operator inequalities ⋮ 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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