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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
1
vote
0
answers
98
views
Question on norms on tensor product and algebra
Question 1
Let $V,W$ be normed spaces and $\iota:V\times W \rightarrow V\otimes W$ be the canonical (algebraic) bilinear map.
It can be easily shown that for any normed space $X$ and a continuous bi …
6
votes
1
answer
1k
views
Are Bochner measurablity and Borel measurability compatible?
Let $(X,\mathfrak{M})$ be a measurable space and $E$ be a Banach space and $f:(X,\mathfrak{M})\rightarrow E$ be a function.
Question
Are Borel-measurable condition on $f$ and Bochner-measurable condi …