General preservers of quasi-commutativity on hermitian matricesDolinar, Gregor (Avtor) Kuzma, Bojan (Avtor) mathematicslinear algebrageneral preserverhermitian matricesquasi-commutativityLet ▫$H_n$▫ be the set of all ▫$n \times n$▫ hermitian matrices over ▫$\mathbb{C}$▫, ▫$n \ge 3$▫. It is said that ▫$A,B \in H_n$▫ quasi-commute if there exists a nonzero ▫$\xi \in \mathbb{C}$▫ such that ▫$AB = \xi BA$▫ Bijective not necessarily linear maps on hermitian matrices which preserve quasi-commutativity in both directions are classified.20082016-04-08 16:42:09Delo ni kategorizirano7715ISSN: 1081-3810UDK: 512.643OceCobissID: 13706329COBISS.SI-ID: 14929753sl