The 6-foot-4, 225 pound, native of Lanigan, Saskatchewan, was originally signed as a free agent by the Ottawa Senators on July, 27, 2001. Brookbank was claimed by the Nashville Predators in this year’s NHL Waiver Draft on October 3, 2003. Vancouver traded for the rugged defenceman in exchange for Future Considerations on December 17th. He was then claimed off waivers by Ottawa on December 19th. Ottawa then traded Brookbank to Florida on December 28th, before be re-claimed off waivers by the Canucks.
I'm pretty sure a team isn't allowed to claim a player they've allready lost on waivers that year. Something similar happened with a Calgary Colorado trade last year.
In fact, it's quite the opposite. If a team loses a player on waivers and within the next 30 days if that player is again placed on waivers, his previous team is given a chance to claim that player before anybody else.