Characterizations of Jordan \(^*\)-isomorphisms of \(C^*\)-algebras by weighted geometric mean related operations and quantities

DOI10.1016/j.laa.2019.11.024zbMath1452.46049OpenAlexW2990567746MaRDI QIDQ2174456

Lajos Molnár, Mostafa Mbekhta, Fadil Chabbabi

Publication date: 21 April 2020

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

Full work available at URL: https://doi.org/10.1016/j.laa.2019.11.024

zbMATH Keywords

\(C^*\)-algebrapreserversoperator meanspositive definite coneweighted geometric meansJordan \(^*\)-isomorphism

Mathematics Subject Classification ID

Automorphisms of selfadjoint operator algebras (46L40) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (9)

Maps on positive cones of \(C^*\)-algebras ⋮ Functions preserving operator means ⋮ Characterizations of Jordan \(*\)-isomorphisms of \(C^*\)-algebras by Schatten \(p\)-norm of Kubo-Ando means ⋮ Applications of the automatic additivity of positive homogeneous order isomorphisms between positive definite cones in \(C^*\)-algebras ⋮ Some new characterizations of central positive elements in \(C^\ast\)-algebras ⋮ On a preserver problem concerning Kubo-Ando means of positive operators ⋮ On preservers related to the spectral geometric mean ⋮ On the order determining property of the norm of a Kubo-Ando mean in operator algebras ⋮ Maps on positive definite cones of 𝐶*-algebras preserving the Wasserstein mean

Cites Work

• Unnamed Item
• Unnamed Item
• Continuous Jordan triple endomorphisms of \(\mathbb{P}_2\)
• Maps on the positive definite cone of a \(C^\ast\)-algebra preserving certain quasi-entropies
• Maps on density operators preserving quantum \(f\)-divergences
• Commutativity of operators
• Transformations preserving norms of means of positive operators and nonnegative functions
• Maps on states preserving the relative entropy. II
• The Golden-Thompson trace inequality is complemented
• Means of positive linear operators
• Log majorization and complementary Golden-Thompson type inequalities
• Geometric operator inequalities
• Norm-additive maps on the positive definite cone of a \(C^{*}\)-algebra
• Preserver problems related to quasi-arithmetic means of invertible positive operators
• Maps preserving Schatten norms of power means of positive operators
• Some ways of constructing Furuta-type inequalities
• On the standard K-loop structure of positive invertible elements in a \(C^\ast\)-algebra
• Isometries of the unitary groups and Thompson isometries of the spaces of invertible positive elements in \(C^\ast\)-algebras
• Quantum Rényi relative entropies on density spaces of \(C^\ast\)-algebras: their symmetries and their essential difference
• An extended Lie--Trotter formula and its applications
• Postulates for general quantum mechanics
• Isometries of operator algebras
• Some characterizations of the automorphisms of $B(H)$ and $C(X)$
• General Mazur–Ulam Type Theorems and Some Applications
• On algebraic endomorphisms of the Einstein gyrogroup
• Maps on states preserving the relative entropy
• Equality cases in matrix norm inequalities of golden-thompson type
• Maps between the positive definite cones of operator algebras preserving a norm of a geodesic correspondence
• Invertibility preserving linear maps on ℒ(𝒳)
• NORM INEQUALITIES EQUIVALENT TO LÖWNER-HEINZ THEOREM
• The arithmetic, geometric and harmonic means in operator algebras and transformations among them
• Notes towards the construction of nonlinear relativistic quantum fields. II: The basic nonlinear functions in general space-times

This page was built for publication: Characterizations of Jordan \(^*\)-isomorphisms of \(C^*\)-algebras by weighted geometric mean related operations and quantities