Find below various techniques to improve fabric properties that may be apply to narrow fabrics :

Basic Finishing Treatment
It's a process designed to alter or improve the surface appearance, function or texture of a fabric. Mercerizing, calendering, glazing, moire, napping, shearing, cropping, embossing, sanding, or beetling are some examples of this process.

Brushing Finishing Treatment
A finishing process for knit or woven fabrics in which brushes or other abrasive devices are used to raise a nap on fabrics or create a novelty surface texture.

Calendering Finishing Treatment
A finishing process to increase the smoothness & lustre of fabric. The material is passed between heated rollers under high pressure. Some calender finishes are moire, glazed, friction, chased and water-marked.

Combing Finishing Treatment
A process for removing all short fibers and impurities from cotton that has been carded. Combed yarn is superior to carded yarn in that it is more compact and has fewer projecting fibers. The finest cottons are made from combed yarns.

Dry Finishing Treatment
This is the process in which the cloth is handled in a dry condition. These include perching, measuring, burling, specking, mending, sewing, calendering, brushing, cropping, friction calendering, glazing, napping, shearing, gassing, singeing, or schreinerizing.

Mercerizing Finishing Treatment
A finishing process used extensively on cotton yarn and cloth consisting essentially of impregnating the material with a cold, strong, sodium hydroxide (caustic soda) solution. The treatment increases the strength and affinity for dyes and if done under tension the lustre is greatly increased.

Schreiner Finishing Treatment
The natural lustre of many cloths such as cotton-back satin, satin, muslin, linen and lining is enhanced by a method of milling or pounding called shreinering. The material is subjected to the physical action of a roller, usually made of steel, with a great many fine lines per inch engraved in it. The roller flattens the threads in the cloth and imprints onto the surface a series of ridges so fine that it is necessary to use a microscope to see the fineness of the work. These very fine lines reflect the rays of light and bring out the appearance by which the cloth is characteristically known. Some of the finishes allied with shreinering are frost-shreinerization, imitation schreinerization, imitation mercerization, bloom finish.