For finite-energy smooth measures, the Revuz map is a homeomorphism between the measure space with the Dirichlet-form metric and the PCAF space with the L2(P_{m+κ+ν0}) local-uniform topology.
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Homeomorphism of the Revuz correspondence for finite energy integrals
For finite-energy smooth measures, the Revuz map is a homeomorphism between the measure space with the Dirichlet-form metric and the PCAF space with the L2(P_{m+κ+ν0}) local-uniform topology.