Careful with the shopping mall analogy. Someone will inevitably bring up Pruneyard[0] and derail things. I think "a bar" is probably the best analogy out there. There might only be one in town. It's open to the (adult) public. People discuss issues. The barkeep can 86 you if he doesn't like your behavior, or shoes, or politics, and your rights will not have been violated.

[0]: https://en.wikipedia.org/wiki/Pruneyard_Shopping_Center_v._R...