Answer by TaQ for Does the uniform boundedness principle holds for...
First, I think this is the type of questions that MO is for.Second, Iosif Pinelis has already given an accepted answer, but for the record I give the following. "Uniform boundedness principle" and...
View ArticleAnswer by rediscoveringamerica for Does the uniform boundedness principle...
It follows easily from the standard case (for linear mappings) that the pointwise limit is separately continuous and a standard result states that separately continuous multi-linear mappings (say on...
View ArticleAnswer by Iosif Pinelis for Does the uniform boundedness principle holds for...
$\newcommand{\om}{\omega}$Let me answer your specific question.The proof is similar to that of the uniform boundedness principle for linear functionals, but here using the...
View ArticleDoes the uniform boundedness principle holds for multilinear maps as well?
This question has been motivated by weak* completeness of distributions.According to the answer in the above post, any barrelled locally convex topological vector space $E$ satisfies the uniform...
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