Abstract

In this paper we establish a Hua type theorem for generalized inverse (respectively, group inverses, Drazin inverses) in the context of Banach algebra. Furthermore, we provide a characterization of all the linear maps from a C^*-algebra of real rank zero onto a prime C^*-algebra that preserve the Moore-Penrose inverse, and illustrate its usefulness with an application to the algebra of bounded operators on a complex Hilbert space.

T(r,f)

--- =0 (log r)²