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Products and factors of Banach function spaces
Authors:Anton R Schep
Institution:1.Department of Mathematics,University of South Carolina,Columbia,USA
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.
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