In this note we present examples of projective spectra E = (E(n))(n is
an element of N) of (LB)-spaces satisfying proj(1) E not equal 0 such
that the inductive spectrum (E'(n))(n is an element of N) of the dual
s is strict. Moreover, we characterize proj(1) E = 0 for projective sp
ectra of Moscatelli type.