Here's the problem with the whole idea of losing weight without exercise.
Yes, it is true that you can certainly do it. As Steve points out, a calorie deficit is a calorie deficit, whether it comes from less input (food) or greater output (exercise).
But the real problem, and where most of us fail, is in keeping the weight off. And here's where exercise plays a huge role. As you get closer and closer to your ideal weight, what was once a caloric deficit now is simply maintenance. In other words, the 2,500 calories that represented a 500 calorie a day deficit for the 260 lb. person is simply maintenance for the 200 lb. person [I'm not sure on the exact figures, but you get the idea].
OK, you say, so I'll just keep at maintenance. Well, take it from me, the other factor in the equation is time. You age, and as you age, if you're like the vast majority of people, you become more sedentary. It happens little by little. You stop playing racquetball on the weekends because you've got to take the kids to a soccer game. You park as close as you can to the entrance of the store because Sarah's got to get to school. Ten years later, you've put on 50 lbs. or so, and yet your maintenance diet hasn't changed one bit. Why? Because you've cut your output as you aged by just a tiny bit, by a measly 50 calories a day, but this adds up to 18,250 calories a year, or 50 lbs. per decade.
Incredible but true -- a mere surplus of 25 calories a day will lead to a weight gain of 26 pounds in 10 years! Conversely, walking just 30 minutes a day would easily erase that surplus, and then some, allowing you to "cheat" occasionally.
If you think you can maintain your weight loss without exercise, ask yourself this: how often over the past 6 months have you cheated? In other words, how many times have you just fallen off the wagon and eaten 1,000 calories more than you know you should have?
If the truthful answer is NEVER, then yes, maybe you can maintain with no exercise. If it's not, then don't build failure into your plan.
It's much healthier to incorporate exercise from the start in your mental picture of weight loss -- and this doesn't even address all the other healthy things that happen to you with exercise, like stronger bones, fewer injuries, etc.
ps. Beta - I know you're injured and are going to return to working out, but there are lots of other people who are looking for ways to do this without exercising.