Opis: Let ▫$H$▫ 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.Ključne besede: mathematics, linear algebra, general preserver, self-adjoint operator, quasi-commutativityObjavljeno v RUP: 03.04.2017; Ogledov: 2076; Prenosov: 76 Povezava na celotno besedilo