Washing your hands, as often as you can, is always the way to combat Norovirus and similar infections.  The hand rub available in hospitals will not kill any infection, but it will suspend any germs you come into contact with.  When not in your home be careful what you touch while you are out and always wash your hands as soon as you can.
Germs will always be around in hospitals, it is therefore essential that all areas are thoroughly cleaned at least once or more often if possible, a day. 
In the days of the old Matrons, hygiene was maintained to a first class standard and staff did not wear hygiene gloves.  By wearing these gloves some people feel this means hand washing is not required. This is a myth, I say bring back hand washing as a first priority together with a more efficient and effective cleaning policy in all areas of care.