A property of the geometric mean of accretive operators

DOI10.1080/03081087.2016.1188878zbMath1370.47042OpenAlexW2407465577MaRDI QIDQ2961479

Fangfang Sun, Minghua Lin

Publication date: 20 February 2017

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

Full work available at URL: https://doi.org/10.1080/03081087.2016.1188878

zbMATH Keywords

geometric meanaccretive operators

Mathematics Subject Classification ID

Linear accretive operators, dissipative operators, etc. (47B44) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (32)

Inequalities on 2 × 2 block accretive matrices ⋮ Generalizing the Ando-Hiai inequality for sectorial matrices ⋮ Refining some inequalities on 2 × 2 block accretive matrices ⋮ Means and the Schur complement of sector matrices ⋮ Relative entropy and Tsallis entropy of two accretive operators ⋮ Inequalities for the Heinz mean of sector matrices ⋮ Accretive operator means and the reverse arithmetic-geometric-harmonic inequality ⋮ More inequalities on numerical radii of sectorial matrices ⋮ Logarithmic mean of multiple accretive matrices ⋮ New inequalities for sector matrices applying Garg-Aujla inequalities ⋮ Unnamed Item ⋮ Numerical radius of products of special matrices ⋮ On the weighted chaotic identric mean of two accretive matrices ⋮ Weighted geometric mean of two accretive matrices ⋮ A note on sectorial matrices ⋮ More inequalities for sector matrices ⋮ Lieb functions and sectorial matrices ⋮ An extension of the AM-GM-HM inequality ⋮ More extensions of a determinant inequality of Hartfiel ⋮ Matrices with positive semidefinite real part ⋮ THE MIXED AM-GM AND GM-HM INEQUALITIES ⋮ Some reverse mean inequalities for operators and matrices ⋮ Some inequalities related to \(2\times 2\) block sector partial transpose matrices ⋮ Inequalities for the λ-weighted mixed arithmetic-geometric-harmonic means of sector matrices ⋮ A note on more inequalities for sector matrices ⋮ Inequalities for the Heinz mean of sector matrices involving positive linear maps ⋮ Operator means for operators with positive definite real part ⋮ Numerical radii of accretive matrices ⋮ Inequalities related to the geometric mean of accretive matrices ⋮ Further inequalities for sector matrices ⋮ On the logarithmic mean of accretive matrices ⋮ Inequalities for arithmetic–geometric–harmonic means of sector matrices

Cites Work

• Functional calculus for sesquilinear forms and the purification map
• Unitarily invariant norm inequalities for accretive-dissipative operator matrices
• Determinantal and eigenvalue inequalities for matrices with numerical ranges in a sector
• Principal powers of matrices with positive definite real part
• Some inequalities for sector matrices
• A matrix decomposition and its applications
• Matrices with Positive Definite Hermitian Part: Inequalities and Linear Systems

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