Unfortunately, the first answer seems to be missing - either that or I am missing something! Equally, fortunately, there is enough info in the rest of the thread to carry out this repair - and in my case, it worked...
Just a couple of points:-
1) Please bear in mind you are working on a switch mode power supply, and whilst there is one large capacitor in there, and it does appear to have a drain resistor - leave the unit to discharge for at least an hour before you attempt the repair, i.e. disconnected from the mains to allow all the caps time to discharge. I didn't find any nastily charged components, but it is better to be safe than sorry...
2) Once you have removed the metal cover, you will see the power supply board with its main components facing in - there is some surface mount stuff facing out, but it is necessary to remove 4 screws to separate this pcb from the display interface. If the screw holding the earth lead (green/yellow cable coming from the mains socket) is removed, the PSU pcb can be separated without removing the whole assembly as the mains socket just slides out of its slot.
3) To Roy Gaskin:- the components you are referring to are NOT capacitors, they are small inductors, and are unlikely to have failed - after all, they are just a coil of wire, probably wound around a ferrite core.
In closing - having read this thread, I figured it would probably fix my monitor - the customer reported that the display would dim and then disappear, which didn't point to invertor failure. If you switch one of these monitors on one day and it just doesn't appear to display, this MAY point to invertor failure... They appear to be fairly sturdy (there are two of them), particularly when compared to laptop technology, but you never know - it is man-made and therefore has the potential to fail...
Thanks to all the 'pioneers' for alerting me to this fix, and I hope my ramblings may help any who follow - thanks chaps ;-)
Ian A. Lake, July 2008