[ldoughty]

The owner of the private space generally has authority to deny this already, there's no need for an additional law.

In the US at least, any private homeowner/renter can deny entry to their property, barring legal warrants and exceptional circumstances. A business can have a policy, and is generally legally protected as long as the policy is 1) equally applied, and 2) does not violate ADA... A court would have to weigh in if glasses are allowed or not for ADA... but I suspect there's already a case where a movie theater banned such glasses and they would probably(?) win, since such individuals could be expected to have non-recording glasses.