Nonlinear commutativity-preserving maps on Hermitian matrices

DOI10.1017/S0308210506000710zbMath1132.47028OpenAlexW2148750058MaRDI QIDQ5452118

Peter Šemrl

Publication date: 20 March 2008

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210506000710

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (5)

Maps on real Hilbert spaces preserving the area of parallelograms and a preserver problem on self-adjoint operators ⋮ Commutativity preserving maps ⋮ Maps preserving matrix pairs with zero Jordan product ⋮ Continuous maps on triangular matrices that preserve commutativity ⋮ Maps on classes of Hilbert space operators preserving measure of commutativity

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