Linear maps on algebra of operators in Hilbert C*-modules characterized by action on zero products

Abstract

Let M be a Hilbert C*-module on a commutative C*-ALS-algebra with unit element e. In this paper, we are going to characterize the linear maps like ; from EndA¹Mº into itself, satisfying S¹Tº + ¹SºT = 0 whenever S; T 2 EndA¹Mº and ST = 0 and we try to express some results.