General preservers of quasi-commutativity on Hermitian matrices

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Gregor Dolinar
Bojan Kuzma


Let Hn be the set of all n × n hermitian matrices over C, n ≥ 3. It is said that A, B ∈ Hn quasi-commute if there exists a nonzero ξ ∈ C such that AB = ξBA. Bijective not necessarily linear maps on hermitian matrices which preserve quasi-commutativity in both directions are classified.

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