Every continuous function defined on $\mathbb{R}$ is Borel measurable. Is it also true in Hilbert spaces ? any references are there?
2026-03-27 13:45:27.1774619127
Measurable function on Hilbert space
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Any continuous map from one topological sapce to another is Borel measurable in the sense inverse image of any Borel set is Borel set.