[Mulder]

If I am the owner of a retail establishment, and my store policy, is no firearms

And here in Florida, your silly sign would have absolutely zero legal standing.

[BOOTSTICK]

Incorrect. here in Florida the business owner has the right to ask law enforcement to "challenge" you if he believes you are armed and violating his establishments policy concerning firearms. Then he has the right not to serve you, and ask you to leave his business.