Abstract: A membrane for the capture of carbon dioxide is provided. The membrane includes a polymeric porous hollow fiber substrate and a coating disposed on a surface of the polymeric porous hollow fiber substrate, where the coating comprises graphene oxide and an amine. A method of forming a coated polymeric hollow fiber support for the capture of carbon dioxide is also provided. The method includes dispersing graphene oxide in a coating solution comprising a solvent; dispersing an amine in the coating solution; and exposing a polymeric hollow fiber support to the coating solution to form a coating on a surface of the polymeric hollow fiber support, wherein the coated polymeric hollow fiber support has a carbon dioxide/nitrogen selectivity ranging from about 200 to about 2000 and a carbon dioxide permeance ranging from about 100 gas permeation units to about 1000 gas permeation units.