Diffeomorphisms approximated by Anosov on the 2-torus and their SBR measures

We consider the C-2 set of C-2 diffeomorphisms of the 2-torus T-2, provided the conditions that the tangent bundle splits into the directed sum TT2 = E-s circle plus E-u of Df-invariant subbundles E-s, E-u and there is 0 < lambda < 1 such that parallel to Df \ E-s parallel to < lambda and parallel to Df \ E-u parallel to greater than or equal to 1. Then we prove that the set is the union of Anosov diffeomorphisms and diffeomorphisms approximated by Anosov, and moreover every diffeomorphism approximated by Anosov in the C-2 set has no SBR measures. This is related to a result of Hu-Young.