Preservers for the \(p\)-norm of linear combinations of positive operators

DOI10.1155/2014/434121zbMath1472.47026OpenAlexW2069705463WikidataQ59038206 ScholiaQ59038206MaRDI QIDQ1724116

Gergő Nagy

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/434121

zbMATH Keywords

normalised elementspositive Schatten-class operators

Mathematics Subject Classification ID

Operator ideals (47L20) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items

Preservers for the Tsallis entropy of convex combinations of density operators ⋮ Norm-additive maps on the positive definite cone of a \(C^{*}\)-algebra ⋮ TRANSFORMATIONS ON DENSITY OPERATORS PRESERVING GENERALISED ENTROPY OF A CONVEX COMBINATION ⋮ Transformations preserving norms of means of positive operators and nonnegative functions ⋮ Preserver problems related to quasi-arithmetic means of invertible positive operators ⋮ Maps preserving Schatten norms of power means of positive operators

Cites Work

• Selected preserver problems on algebraic structures of linear operators and on function spaces
• Norm-linear and norm-additive operators between uniform algebras
• Norm derivatives on spaces of operators
• Stochastic isometries in quantum mechanics
• Maps preserving Schatten \(p\)-norms of convex combinations
• On partially trace distance preserving maps and reversible quantum channels
• Commutativity preserving maps on quantum states
• \(c_ p\)
• Isometries and relative entropy preserving maps on density operators
• Isometries of quantum states
• Properties of q-entropies
• Isometries on positive operators of unit norm
• Maps on quantum states preserving the Jensen–Shannon divergence