Space Junk Removal - Is There a Solution?

Depending on how quickly this Kessler syndrome plays out, we could get to the point where we can't put any more satellites up into space. And along those same lines, it could create kind of this barrier of debris around the globe that would make it so that space travel isn't possible. So the question is, what do we do about it? Is there a solution? Can we clean up all the space junk?