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Topological vector space with a locally convex topology, i.e. induced by a system of seminorms.

6 votes
1 answer
212 views

$L^p$-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 $f:\Omega\rightarrow(X,\sigma)$ …