noun

A flat, thin strip or loop of material, used as a fastener, for reinforcement, or as decoration.

wads of banknotes fastened with gummed paper bands

belt,sash,girdle,strap,tape,ring,hoop,loop,circlet,circle,cord,tie,string,thong,ribbon,fillet,strip

verb

Provide or fit (an object) with something in the form of a strip or ring, for reinforcement or decoration.

doors are banded with iron to make them stronger