Some stainless steels are like trying to sharpen Silly Putty -- seems like all you can do is move the burr from one side to the other and back again; it's very difficult to get rid of it entirely using a stone. The solution is stropping. Glue a bit of leather to the back of your stone -- I use thick latigo but a piece of an old belt will do. Rub some tripoli compound on it if you can find any -- some hardware stores have it -- but just the bare leather will work.
After you get a burr (you've read Joe's Sharpening FAQ, haven't you? If not look in the Knowledge Base on this website) make a reasonable effort to reduce the burr on the stone, then start stropping, pulling the edge toward you and alternating sides with every stroke. If you use tripoli just a few strokes will do it, and it's great for touching up the edge later. If you can't get tripoli right away stropping on the bare leather will get rid of the burr with a few more strokes.
If you don't have any leather available stropping on cardboard will work, with or without tripoli. The kind of cardboard used to back pads of paper seems to work better than box cardboard.
The leather indents a little as you bear down on it and where a stone just pushes the burr to the other side leather follows it ... the burr can't get away from it so it gets polished off. You end up with a slightly convex edge bevel which is good; the very edge has more support and won't bend over as easily.
-Cougar Allen :{)