On some algebraic properties related to Heron type operator means on positive definite cones of \(C^\ast\)-algebras

General theory of (C^*)-algebras (46L05) Positive linear operators and order-bounded operators (47B65) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Cites Work

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Matrix power means and the Karcher mean
Maps on positive cones in operator algebras preserving power means
Transformations preserving norms of means of positive operators and nonnegative functions
A matrix reverse Cauchy-Schwarz inequality
Characterization of operations derived from network connections
Norm derivatives on spaces of operators
Means of positive linear operators
Log majorization and complementary Golden-Thompson type inequalities
Theory of K-loops
Some inequalities for the matrix Heron mean
Moufang quasigroups
On some inequalities for the matrix power and Karcher means
Inequalities for the Wasserstein mean of positive definite matrices
On dissimilarities of the conventional and Kubo-Ando power means in operator algebras
On certain order properties of non Kubo-Ando means in operator algebras
On the order determining property of the norm of a Kubo-Ando mean in operator algebras
On the Bures-Wasserstein distance between positive definite matrices
Connections between centrality and local monotonicity of certain functions on \(C^\ast\)-algebras
Characterizations of certain means of positive operators
Characterizations of centrality in \(C^*\)-algebras via local monotonicity and local additivity of functions
Karcher means and Karcher equations of positive definite operators
A CHARACTERISATION OF CENTRAL ELEMENTS IN -ALGEBRAS
Jordan isomorphisms as preservers
Maps preserving the geometric mean of positive operators
Maps on positive definite cones of 𝐶*-algebras preserving the Wasserstein mean
Operator differentiable functions
On a parametric family of distance measures that includes the Hellinger and the Bures distances

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