Do the police have the right to ban me from entering a store?

Several months ago, I was at a store peacefully confronting the store owner over a purchase disagreement. I can prove that I was peaceful because I recorded the conversation. As soon as I walked into the store, he told me that we weren’t even going to discuss the matter. Then he told me to leave and called the police, whom arrived 15 minutes later. The store owner told the police that he told me never to come into his store again, which was untrue, and that he wanted me gone and to stay gone. The police told me that if I did not leave that they would arrest me. Then they told me that if I returned that I would be arrested. It was the most bizarre encounter I have ever had. The police never even asked me why I was there. The only thing they asked was my name and address. I assume, therefore, that a report wasn't even filed. Please advice. The purchase disagreement is still unresolved.