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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Schep, A.R. Products and factors of Banach function spaces. Positivity 14, 301–319 (2010). https://doi.org/10.1007/s11117-009-0019-2
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DOI: https://doi.org/10.1007/s11117-009-0019-2