The invention relates to membranes, in particular oxygen separation membranes, which enable improved gas separation conditions with respect to cost, price, size, weight, and noise. The membrane, in particular oxygen separation membrane, according to the invention comprises a support layer (28) and a separation layer (30), wherein the separation layer (30) is permeable for oxygen and has a sorptive affinity for at least one other gas, in particular for nitrogen, wherein the membrane (20) is designed such that substantially only the separation layer (30) is heatable by a heating device.