Yes they are perennial. Need some fertilizing, GOOD light, and moist soil. If over fertilize will get growth & no fruit & if to little will not produce either.....

I think they are perennial in tropical zones. Indeterminate, or tree tomatoes are supposed to be perennial. I have had determinate (bush) deliver successive crops if I plant them at the right time however. If your greenhouse can not keep them alive, you can start successive crops. I have had tomatoes fruiting since February, & will have them until late fall.