Ketoamine kinase that phosphorylates ketoamines, such as erythruloselysine and ribuloselysine, on the third carbon of the sugar moiety to generate ketoamine 3-phosphate (PubMed:17681011). Has higher activity on free lysine (erythruloselysine and ribuloselysine), than on ribuloselysine and erythruloselysine residues on glycated proteins (PubMed:17681011). ATP + N(6)-(D-ribulosyl)-L-lysine = ADP + H(+) + N(6)-(3-O-phospho-D-ribulosyl)-L-lysine ATP + N(6)-(D-erythrulosyl)-L-lysine = ADP + H(+) + N(6)-(3-O-phospho-D-erythrulosyl)-L-lysine ATP + N(6)-D-ribulosyl-L-lysyl-[protein] = ADP + H(+) + N(6)-(3-O-phospho-D-ribulosyl)-L-lysyl-[protein] ATP + N(6)-(D-erythrulosyl)-L-lysyl-[protein] = ADP + H(+) + N(6)-(3-O-phospho-D-erythrulosyl)-L-lysyl-[protein] Belongs to the fructosamine kinase family.