2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/218283A complete contraction on a C*-algebra A, which preserves all closed two sided ideals J, can be approximated pointwise by elementary complete contractions if and only if the induced map on the tensor product of B with A/J is contractive for every C*-algebra B, ideal J in A and C*-tensor norm on the tensor product. A lifting obstruction for such an approximation is also obtained.11 pages, to appear in PAMSOperator AlgebrasFunctional Analysis46L06, 46L07, 47B47text