Maps on the positive definite cone of a \(C^\ast\)-algebra preserving certain quasi-entropies

DOI10.1016/j.jmaa.2016.09.067zbMath1387.47021OpenAlexW2529041457MaRDI QIDQ335412

Lajos Molnár

Publication date: 2 November 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.09.067

zbMATH Keywords

\(C^*\)-algebrapreserverscentral elementJordan \(*\)-isomorphismpositive definite conequasi-entropy

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items

Characterizations of Jordan \(^*\)-isomorphisms of \(C^*\)-algebras by weighted geometric mean related operations and quantities ⋮ Maps on positive definite operators preserving the quantum \(\chi_\alpha ^2\)-divergence ⋮ \(\alpha\)-\(z\)-Rényi relative entropy related quantities and their preservers ⋮ Some new characterizations of central positive elements in \(C^\ast\)-algebras ⋮ Preserver problems related to quasi-arithmetic means of invertible positive operators ⋮ On dissimilarities of the conventional and Kubo-Ando power means in operator algebras ⋮ Quantum Rényi relative entropies on density spaces of \(C^\ast\)-algebras: their symmetries and their essential difference ⋮ Maps on Quantum States in -algebras Preserving von Neumann Entropy or Schatten -norm of Convex Combinations

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