If it's standard light fixture, then you either have a single 15 watt fluorescent bulb or two screw in incadescent bulbs. It appears that you have fake plants, rather than live plants? If so then the goal is to keep the nitrates and phosphates as low as possible and ensure that you only have the aquarium light on when you are actually viewing the aquarium.
Very low levels of nitrates and phosphates in an unplanted tank will garentee
an algae outbreak at some point.
A spotlessly clean cycled tank without plants or the very minimum amount of algae is a
sick tank just waiting to happen. It is not a balanced system and the first time something goes wrong it will spread like wildfire.
Hair algae: Don't waste your time trying to treat this in the tank. Remove all objects, plants, gravel that the algae is attached to and treat with an extra strong dose of chlorine and water.
Usual treatment dose is 20:1
For Hair algae the dose is 10:1 for at least 24 hours.
The plants can't stand this dose so use a dip of potassium permangenate (can be purchased in pool supply at nearest hardware store).
Dose: 5 mg tablet mixed to 1 gallon of water.
Dip plants for no more than 1 or 2 minutes depending on species. Rinse well. Can be repeated one time
Make sure that ALL strands are removed. Use a magnifying glass if necessary. 1/8" piece left will grow into a nasty mass within 6 months.