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math.FA2025
Separability and Submetrizability in Locally Convex Spaces
Thomas Ruf
We introduce the property of countable separation for a locally convex Hausdorff space and relate it to the existence of a metrizable coarser topology. Building on this, we dem…
math.AP2025
A Rough Divergence Theorem
Thomas Ruf
A generalized divergence theorem is established allowing for domains with inner boundaries. The normal trace of a rough integrand is not a Radon measure; rather, the boundary integ…