General preservers of quasi-commutativity on self-adjoint operators

DOI10.1016/j.jmaa.2009.11.007zbMath1181.47038OpenAlexW1981005891MaRDI QIDQ847733

Bojan Kuzma, Gregor Dolinar

Publication date: 19 February 2010

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.2009.11.007

zbMATH Keywords

selfadjoint operatorgeneral preserverquasi-commutativity

Mathematics Subject Classification ID

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

Cites Work

• The theory of symmetry actions in quantum mechanics. With an application to the Galilei group
• Invariant subspaces and unstarred operator algebras
• Nonlinear commutativity preserving maps on self-adjoint operators
• General preservers of quasi-commutativity on Hermitian matrices
• General Preservers of Quasi-Commutativity
• Linear maps on matrices preserving commutativity up to a factor
• A note on commutativity up to a factor of bounded operators
• Commutativity up to a factor of bounded operators in complex Hilbert space
• Linear maps preserving quasi-commutativity
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