One thing to be aware of is that the ballasts that control fluorescent lamps can produce large amounts of 60 Hz hum. They can also produce audible high frequency hum in the room itself. Although I'm sure there are sophisticated ways to measure 60 Hz hum on a power line, it should be fairly easy to determine if it's a problem in your studio just by setting up a typical mic setup you expect to use and recording "silence". Record a second pass with the fluorescent lights off and listen to both files with some good headphones on. That should tell you if it's a problem. Be sure to run this test on each breaker/circuit you might use to power your audio electronics. Naturally, you can determine if there is a high frequency hum issue in the room just by listening carefully in the room with the lights on and off.
If there is a problem, replacing the ballasts with newer, high quality units might solve the issue. You may be able to install filter circuits that help as well.
If the quality of the light gets on your nerves, as Terry mentioned, you can get full-spectrum replacement tubes with shielded caps on them that produce much more natural and pleasant light than standard fluorescent tubes. They're not cheap, but they're worth it.
EDIT: A measuring mic and an oscilloscope could be helpful to make sure there isn't a problem at very high frequencies in the room. Don't discount the effect this could have on your perception of sound in the room. Try to solve it if it exists.
Paul