The problem is current(or amps).
Your adapter is in fact 9 volts, but only when you are drawing the full 1 amp. Otherwise, the quivalent resistance of the amp can be anywhere between 9 ohms and infinite ohms.
You could use a 9 volt regulator. You could build a voltage divider using 2 resistors, but that will waste a lot of power. Lastly, you could use diodes. 5-6 of them in series will drop the voltage around 9, assuming you're using a regulated 12 volt supply like a PC power supply.
If you are using a computer power supply, you could likely supply that straight to the speakers and never have a problem. Plug in that 9 volt adapter and read what kind of voltage it gives off with a multimeter. With no load, you'll see it's likely close to 13-14 volts.
edit: diodes are not likely to fail. The only way to blow them is too much current, which means a flaw somewhere else in the design. You would need about a 100V, 3 amp or more diode. You can use anything with higher voltage and current specs.