Maps on classes of Hilbert space operators preserving measure of commutativity

DOI10.1016/j.laa.2014.08.026zbMath1311.47050arXiv1407.0917OpenAlexW2066728462MaRDI QIDQ744126

Gergő Nagy, György Pál Gehér

Publication date: 6 October 2014

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

Full work available at URL: https://arxiv.org/abs/1407.0917

zbMATH Keywords

commutativityunitarily invariant normpreserver problemsHilbert space operators

Mathematics Subject Classification ID

Transformers, preservers (linear operators on spaces of linear operators) (47B49) Linear preserver problems (15A86)

Related Items

Maps on real Hilbert spaces preserving the area of parallelograms and a preserver problem on self-adjoint operators

Cites Work

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• Transformations on bounded observables preserving measure of compatibility
• Transformations of the unitary group on a Hilbert space
• A new proof of Wigner's theorem
• Selected preserver problems on algebraic structures of linear operators and on function spaces
• Commutativity preserving maps
• A direct proof of Wigner's theorem on maps which preserve transition probabilities between pure states of quantum systems
• Linear maps preserving commutativity
• Commutativity preserving maps on quantum states
• Nonlinear commutativity preserving maps on self-adjoint operators
• Nonlinear commutativity-preserving maps on Hermitian matrices
• Note on Wigner's Theorem on Symmetry Operations
• An elementary proof for the non-bijective version of Wigner's theorem

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