UNder ideal conditions, yeah. You need to provide at least the same wattage as what you are consuming. You will probably need more. The power rating is under good nominal conditions which is not always true. And if you use it 24/7 you are going to need to charge up something so it can run during the night- and the process of charging and using power from the power storage is not 100% efficient. So basically, it means that if you use solar panels for day and night, you need their wattage to be at least twice as large as your consumption, assuming your day is equal to your night, since you need to power the heaters during the day while storing an equal amount of energy for the equally long night.
I would think it would be more efficient to directly use the sunlight as heat during the day (maybe redirect it or something and provide something for shade- it is after all what they do in nature. Why use an more complex, less effective artificial method?. Much more efficient than the 7% or 20% solar panels have.