Additive Rank-one Preservers on Block Triangular Matrix Spaces

WAI-LEONG CHOOI AND MING-HUAT LIM

Research Report No. 8/2004

Abstract

In this note, we address a description of the general form of additive rank-one preservers on block triangular matrix spaces. As an application, a characterization of injective additive mappings preserving rank-additivity on block triangular matrix algebras is given.