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

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http://arXiv.org/abs/0803.4336

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