Amalfi Coast - closed or open in November?

I’d be more concerned with the weather which may limit your ability to enjoy the place, which is largely a place to be enjoyed outdoors. I’m sure many restaurants and several hotels will be open and available.

There is always something open, but many of the larger, sea view hotels are shuttered as are some restaurants. We went in mid-December one year and enjoyed our time. It was cool-to-cold and sunny 6 out of 7 days. Winter coats and gloves required. Pompeii was magical in cold sun with very few other tourists. But if it rains all week, it could be a bummer.