Generalized Pólya-Szegő type inequalities for some non-commutative geometric means
From MaRDI portal
Publication:1940323
DOI10.1016/j.laa.2011.10.036zbMath1272.47031OpenAlexW1986620672MaRDI QIDQ1940323
Publication date: 6 March 2013
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2011.10.036
positive operatorpositive linear mapreverse inequalityAndo-Li-Mathias geometric meanSpecht ratiochaotic geometric meanMond-Shisha difference
Linear operator inequalities (47A63) Operator means involving linear operators, shorted linear operators, etc. (47A64)
Related Items
On the Lawson-Lim means and Karcher mean for positive invertible operators ⋮ On the Ando–Li–Mathias mean and the Karcher mean of positive definite matrices ⋮ Operator power means due to Lawson-Lim-Pálfia for \(1 < t < 2\) ⋮ Logarithmic mean of positive invertible operators ⋮ The mean conformation tensor in viscoelastic turbulence ⋮ Norm inequalities for matrix geometric means of positive definite matrices
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A matrix reverse Hölder inequality
- Zur Theorie der elementaren Mittel
- Noncommutative geometric means
- Riemannian geometry and matrix geometric means
- On a new construction of geometric mean of \(n\)-operators
- Weighted geometric mean of \(n\)-operators with \(n\)-parameters
- A matrix reverse Cauchy-Schwarz inequality
- Riemannian metrics on positive definite matrices related to means
- Structure of Hiai-Petz parametrized geometry for positive definite matrices
- Concavity of certain maps on positive definite matrices and applications to Hadamard products
- A Schwarz inequality for positive linear maps on C\(^*\)-algebras
- Functional calculus for sesquilinear forms and the purification map
- Means of positive linear operators
- Geometric means
- Operator inequalities related to Cauchy-Schwarz and Hölder-McCarthy inequalities
- A reverse inequality for the weighted geometric mean due to Lawson--Lim
- On Ando-Li-Mathias geometric mean equations
- An extension of Kantorovich inequality to \(n\)-operators via the geometric mean by Ando--Li--Mathias
- Golden-Thompson type inequalities related to a geometric mean via specht's ratio
- A Schwarz Inequality for Convex Operator Functions
- Bounds for the ratio and difference between parallel sum and series via Mond-Pečarić method
- A general framework for extending means to higher orders
- An effective matrix geometric mean satisfying the Ando–Li–Mathias properties
- Reverse inequalities on chaotically geometric mean via Specht ratio
- Characterizations of chaotic order associated with the Mond-Shisha difference
- Means of Positive Numbers and Matrices
- Differences of means
