Specifically British Airways Limited. They will assume operation of the two A318s out of LCY. The sceptic in me thinks this name was chosen so that passengers don't notice they are not on "real" BA. No one is going to see BA 001/002/003/004 - OPERATED BY BRITISH AIRWAYS LIMITED on their ticket and give it a second thought. Presumably there is some cost advantage to doing this, although an entirely separate AOC for 2 aircraft and 4 daily flights seems a bit excessive. I wonder what they are cooking up on waterside.