Applications of the automatic additivity of positive homogeneous order isomorphisms between positive definite cones in \(C^*\)-algebras

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Norm inequalities related to the matrix geometric mean
Transformations on positive definite matrices preserving generalized distance measures
Examples and applications of generalized gyrovector spaces
Maps on positive cones in operator algebras preserving power means
Norm-linear and norm-additive operators between uniform algebras
Functional calculus for sesquilinear forms and the purification map
Means of positive linear operators
Convexity of the geodesic distance on spaces of positive operators
Norm-additive maps on the positive definite cone of a \(C^{*}\)-algebra
On the surjectivity of generalized isometries on the positive definite cone of matrices
Order isomorphisms of operator intervals
Bures contractive channels on operator algebras
Bures isometries between density spaces of \(C^{\ast}\)-algebras
Differential and metrical structure of positive operators
Inequalities for the Wasserstein mean of positive definite matrices
On certain order properties of non Kubo-Ando means in operator algebras
Characterizations of Jordan \(^*\)-isomorphisms of \(C^*\)-algebras by weighted geometric mean related operations and quantities
On preservers related to the spectral geometric mean
On the order determining property of the norm of a Kubo-Ando mean in operator algebras
Isometries of the unitary groups and Thompson isometries of the spaces of invertible positive elements in \(C^\ast\)-algebras
Matrix versions of the Hellinger distance
On the Bures-Wasserstein distance between positive definite matrices
Quantum Rényi relative entropies on density spaces of \(C^\ast\)-algebras: their symmetries and their essential difference
Order isomorphisms of operator intervals in von Neumann algebras
Order-automorphisms of the set of bounded observables
Jordan triple endomorphisms and isometries of spaces of positive definite matrices
GEODESICS AND OPERATOR MEANS IN THE SPACE OF POSITIVE OPERATORS
Jordan isomorphisms as preservers
Thompson isometries of the space of invertible positive operators
A Geometric Interpretation of Segal's Inequality || e X + Y || ≤ || e X/2 e Y e X/2 ||
Inequalities between means of positive operators
A Proof of the Mazur-Ulam Theorem
Maps on positive definite cones of 𝐶*-algebras preserving the Wasserstein mean
On Certain Contraction Mappings in a Partially Ordered Vector Space
On the Linearity of Order-isomorphisms
Fidelity preserving maps on density operators
A new positive definite geometric mean of two positive definite matrices