Yes, all retail business, including indoor retail, shopping malls, strip malls, outlet malls, shopping centers, swap meets, are allowed to operate under specific guidelines from the state based on tier assignment under California’s Blueprint for a Safer Economy. (See the allowable activities in each tier for retail establishments and shopping centers here.)
While out in public, people are encouraged to comply with physical distancing and proper hygiene requirements.
The health officer encourages all retail stores to continue to offer their customers with curbside pickup, delivery, or shipping options. Persons at a higher risk of severe illness for COVID-19 should consider using curbside pickup, delivery, or shipping options.