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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