Linear Maps Preserving the Generalized Projection

Samir Kabbaj, Ahmed Charifi, Abedellatif Chahbi

Abstract

Abstract. Let H be a separable complex Hilbert space and B(H ) the al-gebra of all bounded linear operators on H . We give the concrete forms ofsurjective continue linear maps \phi  : B(H )  \to B(H ) preserving the generalized projection.