Linear maps on matrices preserving commutativity up to a factor

DOI10.1080/03081080701210211zbMath1160.15004OpenAlexW1978176525MaRDI QIDQ3600664

Lajos Molnár

Publication date: 5 February 2009

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

Full work available at URL: https://doi.org/10.1080/03081080701210211

zbMATH Keywords

Hermitian matriceslinear mappingspreserversmatrix spacescommutativity up to a factor

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Hermitian, skew-Hermitian, and related matrices (15B57) Linear transformations, semilinear transformations (15A04)

Related Items (6)

General preservers of quasi-commutativity on self-adjoint operators ⋮ Extremal generalized centralizers in matrix algebras ⋮ Nonlinear strong commutativity preserving maps on skew elements of prime rings with involution. ⋮ Strong commutativity preserving generalized derivations on right ideals. ⋮ Additive maps preserving commutativity up to a factor on nest algebras ⋮ Strong commutativity preserving generalized derivations on Lie ideals

Cites Work

• Linear maps that preserve commuting pairs of matrices
• Commutativity preserving linear maps on central simple algebras.
• Linear maps preserving commutativity
• Potter, Wielandt, and Drazin on the Matrix Equation AB = wBA: New Answers to Old Questions
• A note on commutativity up to a factor of bounded operators
• Commutativity up to a factor of bounded operators in complex Hilbert space

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