Determinant Type Generalizations of the Heinz-Kato Theorem Via the Furuta Inequality

DOI10.2307/2160189zbMath0804.47023OpenAlexW2057762367MaRDI QIDQ4281759

Takayuki Furuta

Publication date: 12 January 1995

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

Full work available at URL: https://doi.org/10.2307/2160189

zbMATH Keywords

operator inequalityFuruta inequalitypositive operatorHeinz-Kato inequality

Mathematics Subject Classification ID

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

Related Items (8)

Operator versions of inequalities and equalities on a Hilbert space ⋮ Equivalence relations among Reid, Löwner-Heinz and Heinz-Kato inequalities, and extensions of these inequalities ⋮ Some inequalities of Kato type for sequences of operators in Hilbert spaces ⋮ Simultaneous extensions of Selberg and Buzano inequalities ⋮ 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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