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Results tagged with fa.functional-analysis
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user 77968
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
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Is the space of vectorial functions that are Dunford integrable complete?
Let $X$ a Banach Space and $(\Omega, \Sigma, \mu)$ a measure space. A function $F:\Omega\rightarrow X$ is Dunford integrable if $x^\ast\circ F$ is $\mu$-integrable for every $x^\ast\in X^\ast$. The sp …