Phill's idea will work (if you're not all electric), but a hot air gun won't, not enough heat.
For "normal DIY" I use a very cheap Camping Gaz blowlamp with one of those screw & clip on blue cartridges. Quite expensive per "millilitre" or whatever, for the gas, but if you're not going to do much else with it, it'll do fine. Quite a big, broad & feathery flame too, which, as above, is just the ticket,
But as per my previous post, try to bend it without annealing first. It may not be necessary, and that'll save you buying a blowlamp if you will really have no other use for it.
To test, take a big wodge of old newspapers, thicker at each end than in the middle, fashioning into a rough curve. Lay that lot on a firm bench or the floor. Then find a bit of "bar", smooth metal ideally, but wood if you can't find anything else. Length should be at least as long as both your hands are wide, PLUS the width of the brass you're trying out. Diameter should ideally be "pretty big" (say a couple of inches - 50 mm - or more) but a bit of old broom stick will do fine if it's nice and smooth. Used that idea myself several times, and it works a treat if the brass is not too thick/hard. Your 1.00 mm may well be fine.
The idea is to use the bit of bar just like Mum did with a rolling pin for pastry, always pressing downwards pretty hard as you roll your "rolling pin" to and fro across the brass. Watch what happens to the brass. If it starts to curl upwards (towards the rolling pin) then the chances are you won't need to anneal, especially if the diameter/radius you want is fairly "open", and if the 2 bits of material you're going to sandwich the brass between are fairly tough.
HTH