Illegal dribble?

[Nu1]

Rule 4-15-4 (2005-06 I don't have the new ones yet, if they're out) lists ways a dribble can end. But the list isn't all inclusive, is it? For example, it lists that the dribble ends when...the dribbler catches the ball or it comes to rest in the hand...the dribbler palms / carries the ball...the dribbler simultaneously touches the ball with two hands...the opponent bats the ball...and the ball becomes dead.

What if A1 is standing still and dribblling the ball...A2 walks towards A1 and A1 lets the ball bounce as A1 walks away. A2 then grabs the ball and dribbles, passes or shoots. The dribble by A1 ended, correct? But A1 did not do anything listed in the rule for how a dribble ends.

When I'm reffing and the ball hits a defender, intentional or not, I have the dribble as ended and the dribbler can recover and dribble again.