Is that a valid way to create artificial ground from single 12V supply? Or am I forgetting something obvious?

I need to power a few opamps in a simple device powered by a wall-wart. Signals will partially be DC, so no capacitive coupling. I need the virtual ground to be able to both sink and source a few tens of miliamps (actually, to maintain the virtual ground in the middle between GND and +12V). Technically the vrtual ground will be 6V above wall-wart DC potential, but wall-warts are isolated (at least hope so...) so it should not onterfere with oscilloscope for example.