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Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.
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$L^p$-spaces for locally convex spaces
Let $(X,\sigma)$ be a locally convex space, say generated by a family of seminorms $\mathfrak{P}$. I know that there is the notion of the space of integrable functions $f:\Omega\rightarrow(X,\sigma)$ …