There are many varieties of awkward or difficult people, and I don't think there is one perfect solution to all such problems.
Depending on the powers and responsibilities given to the management company, I think it falls to them to try to deal with the situation. If people who receive the notes simply passed them to the management company, then a representative of the management company could contact the writer and explain in appropriate terms why the writing of notes like that is not acceptable. [By "appropriate terms" I mean in a form of language that takes account of the type of person being dealt with -- it might be somebody with a mental health issue, or an eccentric on a bizarre power trip, or somebody harbouring a grudge against "them".]
There are paths for escalation, such as injuncting the person, but I imagine that nobody wants to go there unless the position becomes really intolerable.