Yes, after warning a person that they are unwelcome, they can be arrested for trespass.
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That is the definition of trespassing. Either telling someone to leave and they refuse, or you tell them they may not enter and they do
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Once you tell the person they are no longer welcomed on your property or they cannot return to your property, you have put them on notice. If they come back or remain on your property, you can have them arrested for trespassing. You will need to call the police and sign a criminal complaint against the person.