Journal of the Australian Mathematical Society - Series A Vol. 64 Part 2 (1998) Rybakov's theorem in Fréchet spaces and completeness of L1-spaces W. J. Ricker School of Mathematics University of New South Wales Sydney, NSW 2052 Australia Abstract: We provide a simple and direct proof of the completeness of the L1-space of any vector measure taking its values in the class of Fréchet spaces which do not contain a copy of the sequence space $\o$. PDF file size: 44K © Copyright 1998, Australian Mathematical Society