Determinant for positive operators and operator geometric means

DOI10.1007/s13324-022-00663-zOpenAlexW4220845830MaRDI QIDQ2116783

Sora Hiramatsu, Yuki Seo

Publication date: 18 March 2022

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-022-00663-z

zbMATH Keywords

Karcher meanoperator geometric meanpositive invertible operatornormalized determinantoperator power mean

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Cites Work

• Tsallis relative operator entropy with negative parameters
• Matrix power means and the Karcher mean
• Zur Theorie der elementaren Mittel
• Means of positive linear operators
• The Hadamard determinant inequality -- extensions to operators on a Hilbert space
• An elementary proof of arithmetic-geometric mean inequality of the weighted Riemannian mean of positive definite matrices
• Determinant theory in finite factors
• Karcher means and Karcher equations of positive definite operators
• On the Ando–Li–Mathias mean and the Karcher mean of positive definite matrices
• Determinant for positive operators and Oppenheim's inequality
• Log-convexity of generalized Kantorovich function
• Analyticity in Operator Algebras
• ROUNDING-OFF ERRORS IN MATRIX PROCESSES
• On Determinants and a Property of the Trace in Finite Factors
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