House back: Restrict # of items tenants store outside the room?

[Jeremiah Watkins]

California. In a roommate/househack situation, when renting individual rooms would it be feasible/legal to put in the lease that any items stored outside of the room being rented must be approved in writing, and/or restrict the number of items stored outside the room?

Alternatively, how would you deal with a situation with a roommate/tenant bringing way too much stuff when they move in?