Thanks for everyone's advice
Just to further describe these doors and the building:
They are solid carved timber doors, almost 4" thick with a 4 x 1 'plank' fixed around the edge of both faces which makes them nearly 6" thick at the perimeter. They have huge parliament hinges which take most of the weight. The remaining load passes through a discreet wheel fitted to each bottom outside corner, which runs along a curved brass plate set into the floorboards.
As a result, any self closer would need to overcome the sheer weight of the door and the friction of the revolving wheel on it's brass plate.
The building is a former posh terraced townhouse similar to that depicted in the TV show 'Upstairs Downstairs'- the doors in question would have led to the main drawing rooms within the house (Hudson must have been a strong bloke opening them all day!).
It's now multi-occupied offices with both sets of doors being in the control of a single occupier. The occupiers appear to open at least one side of the set (each opening has a pair of doors) at the beginning of business and close it when their office is vacated.
The doors do lead onto the only staircase in the building and there is no way of further enclosing them. However there is an exit route via a neighbouring building on the 4th (top) floor.
I was thinking along the lines of a system of a named person/warden closing each doorset when evacuating due to the AFD operating. This system would be backed up by regular (quarterly) fire drills so that occupiers on all upper floors are aware of the alternative exit if required.
Getting the building's Management Company, the neighbours and every occupier to agree maybe the most difficult part!!