This is an announcement for the paper "Products and factors of Banach function spaces" by Anton R. Schep. Abstract: Given two Banach function spaces we study the pointwise product space E.F, especially for the case that the pointwise product of their unit balls is again convex. We then give conditions on when the pointwise product E . M(E, F)=F, where M(E,F) denotes the space of multiplication operators from E into F. Archive classification: math.FA Mathematics Subject Classification: 46E30; 47B38 Remarks: 16 pages The source file(s), product-bfs.bbl: 4503 bytes The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0803.4336 or http://arXiv.org/abs/0803.4336 or by email in unzipped form by transmitting an empty message with subject line uget 0803.4336 or in gzipped form by using subject line get 0803.4336 to: math@arXiv.org.