Transwede
The name on the AOC can be checked out at the following link;
http://www.caa.co.uk/docs/1196/AOCListD_M_20071129.pdf
It still appears to be Flyjet Limited trading as Silverjet
Its unusual for more than one operator to carry the same 'trading as' name as it creates confusion for the regulator but I believe it may have been done in the past, probalby with the various airlines that comprised the BA Regional operation - or something similar.
A single AOC can carry mutliple 'trading as' names i.e. ABC Airlines Ltd trading as XYZ Air also trading as PQR Aviation
The key in the AOC is not the name it trades under but the accountability to the regulator and the beneficial interest in the contract of carriage i.e. who coughs up or stands in the dock when it all goes wrong.