ABSTRACT
Suppose that a E <T(L) \ <Tell(L). Since ind(L - aI) = 0, this reduces to
and thus (14.52) holds in this case. The proof for fJ E <T(M) \ <TelI(M) gives the parallel formula
ind (K - >.1) = E ind (L - aI) E[dk(fJ) - dk-l(fJ)]. a+p=~ k=l
Theorem 14.9 is completely proved.•
Observe that Theorem 14.9 implies, in particular, that
(14.64) The proof of the following theorem is parallel to that of the preceding theorems, and therefore we drop it.
