J. Aust. Math. Soc.  75 (2003), 163-180
Projective descriptions of the (LF)-spaces of type

 Angela A. Albanese   Dipartimento di Matematica `E. De Giorgi'   Università di Lecce, C.P. 193   Via Per Arnesano   73100 Lecce   Italy  albanese@ilenic.unile.it

Abstract
Let or and let be an increasing sequence of strictly positive weights on . Let be a Fréchet space. It is proved that if satisfies the density condition of Heinrich and a certain condition holds, then the (LF)-space is a topological subspace of . It is also proved that these conditions are necessary provided or contains a complemented copy of with .