The H9 is not a DSLR, but that doesn't mean you won't be turned away. It might be up to the discretion of security, since to the untrained eye, the H9 looks similar to a DSLR.
I'll be attending a basketball game tomorrow, and the arena's policy states no DSLR or SLR digital cameras are allowed inside. I'm trying to find out if my camera, a Sony DSC-H9, falls into that category. I've been looking online for info, but I'm still unsure. I don't want to take the camera with me, in case I'm turned away and have to return it to the car.

Chowhound
Comic Vine
GameFAQs
GameSpot
Giant Bomb
TechRepublic