Nonlinear commuting maps on ℒ (X)

DOI10.1080/03081087.2019.1607819OpenAlexW2941132961MaRDI QIDQ4965679

Constantin Costara

Publication date: 9 March 2021

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

Full work available at URL: https://doi.org/10.1080/03081087.2019.1607819

zbMATH Keywords

commutantcommuting mapnonlinear preserver problem

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Cites Work

• Commuting maps: a survey.
• Centralizing mappings and derivations in prime rings
• Linear maps that preserve the commutant, double commutant or the lattice of invariant subspaces
• Nonlinear commutant preservers
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