I agree @sanitizemylife wholeheartedly, never do something unless you are totally positive. Negative results feed negative gestures.

People are using different names on different platforms and I personally find it difficult to find time to check on each and every name to find a person, time is a luxury not to be wasted.

Go on trust and when it is blatant that the same person does the same misdemeanor it will eventually create a pattern to take to task.