Hi fleetfingers,
This adagio is coming along nicely. You certainly have the notes, differentiation of touch, and attention to dynamics along with a controlled pedal. If you'll allow me, just a couple of suggestions.
In balancing the hands, I think you need to do more to keep the melody in the foreground and the accompaniment in the background. Sometimes the accompaniment does have an interesting contra-melody or whatever that requires some highlighting, but by and large, the left hand needs to be subservient to the right. At the moment there are times when the left not only competes with the right hand, but actually dominates it thereby overwhelming the melody. So if the dynamic is mp, then usually the left hand should be p. If it's ff, then the left hand accompaniment should be f. The way to make this happen is to make the right hand melody louder. That only invites the left to rise in its struggle to compete with the right hand. Instead, always lower the volume in the left hand to allow the right hand melody to soar. Then maintain that balance.
The other point I would make is the legato phrasing. If you examine closely the score of this piece, you'll see that its very much like a string quartet. That's probably what Beethoven had in mind. So as you play, strive for long legato lines, unless the notation calls for a different touch, and hear the violin's melody singing in your mind. You'll be amazed how much more songful your playing becomes.
Keep up the good work!
David