aCollege of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, PR China
bDepartment of Mathematics, Northwest University, Xi’an 710069, PR China
Abstract:
Let be the algebra of all bounded linear operators on a complex Banach space . We give the concrete forms of linear surjective maps on which preserve the nonzero idempotency of either products of two operators or triple Jordan products of two operators.