Mathematics – Functional Analysis
Scientific paper
2008-03-30
Mathematics
Functional Analysis
16 pages
Scientific paper
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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