If linoleum flooring develops a dull appearance over time, most likely the cause is the discoloration and buildup of floor wax, according to SFGate Home Guides. First vacuum or sweep the floor to remove any loose dirt. Mix a cup of ammonia with half a gallon of warm water in a bucket.
Apply the cleaning solution to the linoleum with a mop or sponge. Let the solution remain on the surface for 5 minutes to loosen the buildup of old wax, and then scrub the floor with a scouring pad or a nylon brush to remove the old wax. Thoroughly rinse the linoleum with plenty of clean, cool water to remove all of the old wax, and then dry the floor with a clean, absorbent towel.
In order to make sure that every bit of loose wax has been removed from the floor, SFGate House Guides suggest sweeping or vacuuming the floor one moe time. After the linoleum is completely clean and dry, apply a wax to its surface that is made for linoleum flooring. Follow the instructions on the label carefully. Do not walk on the linoleum flooring or allow anything to touch its surface until the floor is completely dry.