Timeline for Is total variation $\mu(\cdot) \mapsto |\mu|(\cdot)$ Borel measurable from $M$ to $M$?
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Mar 2, 2017 at 12:14 | comment | added | Gerald Edgar | In the norm topology of $M$, yes. Which is enough for proving $\mu \mapsto \|\mu\|$ is Borel. In fact, that map is even continuous for the norm topology. But in the weak* topology? Doubtful... | |
Mar 2, 2017 at 5:01 | history | asked | nullUser | CC BY-SA 3.0 |