Comment on 'analytic scattering theory for many-body systems below the smallest three-body threshold'

The proof of Lemmas 2.1-2.3 in the named paper (Commun. Math. Phys. 77, 173-210 (1980)) is completed, showing that the operators of multiplication by k2 in Hsup(t,l), vertical stroke t vertical stroke <= 1, l = 0, +-2, have spectrum anti R+ and generate the holomorphic semigroups esup(zetak2), Rezeta < 0. It is pointed out, that (5.54) does not hold. Accordingly, a new version of theorem 5.15 is proved, saying that (5.44) defines an isomorphism of N(Gsub(+)(z,k))N0(Gsub(+)(z,k)) onto N(Ssup(*)sub(lambda)(anti z)). (orig./HSI)