Operator inequalities associated with \(A\log A\) via Specht ratio.

DOI10.1016/S0024-3795(03)00651-7zbMath1057.47021MaRDI QIDQ1414714

Takayuki Furuta

Publication date: 4 December 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

Kantorovich inequalitySpecht ratio

Mathematics Subject Classification ID

Linear operator inequalities (47A63)

Related Items (1)

A difference counterpart to a matrix Hölder inequality

Cites Work

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• Means of positive linear operators
• Operator inequalities associated with Hölder-McCarthy and Kantorovich inequalities
• Inequalities of Furuta and Mond-Pečarić on the Hadamard product
• Complementary inequalities to inequalities of Jensen and Ando based on the Mond-Pečarić method
• Matrix inequalities involving a positive linear map
• Golden-Thompson type inequalities related to a geometric mean via specht's ratio
• A Schwarz Inequality for Convex Operator Functions
• Inequalities of Furuta and Mond-Pečarić
• A matrix version of the Ky Fan generalization of the kantorovich inequality
• Specht ratio S(1) can be expressed by Kantorovich constant K(p) : S(1)= exp[K'(1) and its application]
• Inequalities for positive linear maps on Hermitian matrices

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