Okay, I found the solution! Or, rather, my wife, did. We visited the rental
house today, and my wife discovered the obvious. There's a second wall switch
on the other side of the kitchen. That's the swtich that turns on the fluroescent
light in question. In short, I was switching the wrong wall switch on and off.
Gosh, I feel so dumb (as I should)...and now I feel very humble. Thanks for the
great suggestions, though, and for your efforts to help me out.

If anyone wants to post a compliment for my wife, please do. I'll be happy to
print it out and give it to her.

Scott

Scott wrote:

In a rental house I take care of, theres a fluorescent light
fixture on the ceiling of the kitchen. The fluorescent lights
in the fixture are flickering on and off, even though the wall
switch is turned off. What's likely to be the problem there?

Thanks!
Scott