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arXiv:0803.4336 [math.FA]AbstractReferencesReviewsResources

Products and Factors of Banach function spaces

Anton R. Schep

Published 2008-03-30Version 1

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.

Comments: 16 pages
Categories: math.FA
Subjects: 46E30, 47B38
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