Characterizations and the Moore-Penrose Inverse of Hypergeneralized K-Projectors

Abstract

Abstract. We characterize hypergeneralized k-projectors (i.e., A k = A † ). Also, some representation for the Moore-Penrose inverse of a linear combination of hypergeneralized k-projectors is found and the invertibility for some linear combinations of commuting hypergeneralized k-projectors is considered.