General preservers of quasi-commutativity on self-adjoint operatorsDolinar, Gregor (Avtor) Kuzma, Bojan (Avtor) mathematicslinear algebrageneral preserverself-adjoint operatorquasi-commutativityLet ▫$H$▫ be a separable Hilbert space and▫ ${\mathcal B}_{sa}(H)▫$ the set of all bounded linear self-adjoint operators. We say that ▫$A, B \in {\mathcal B}_{sa}(H)$▫ quasi-commute if there exists a nonzero ▫$\xi \in \mathbb{C}$▫ suchthat ▫$AB=\xi BA$▫. Bijective maps on ▫${\mathcal B}_{sa}(H)$▫ which preserve quasi-commutativity in both directions are classified.20102016-04-08 16:46:51Delo ni kategorizirano7731sl