ON THE CONTINUITY OF THE GROUP INVERSE IN C*-ALGEBRAS

Benítez López Julio, XIAOJI LIU, Cvetkovic-Ilic Dragana

2014

Banach Journal of Mathematical Analysis

Let {a_n} be a sequence of group invertible elements of a unital C* algebra A that converges to a. We present some equivalent conditions for the group invertibility of a and for the convergence of {a^#_n} to a#.