The present invention relates to the use of a composition comprising specific a-amino-ketones, H2O2, a H2O2 precursor or a peracid and optionally an activator as a bleaching mixture for textile materials or dishes either manually or in an automatic washing machine or dish washer. Further aspects of the invention are the composition comprising specific a-aminoketones and H2O2, a H2O2 precursor or a peracid and a process for bleaching of stains or of soiling on textile materials or dishes in the context of a washing process either manually or in an automatic washing machine or dish washer. Also aspects of the invention are detergent formulations comprising such a composition and novel compounds.