The invention relates to a method for operating a gas turbine (6) which comprises a compressor (1) with annular inlet area, at least two burners, a combustion chamber (4, 14, 15) and a turbine (7, 16, 17). According to the method, at least one first partial intake flow, consisting of oxygen-reduced gas (21) which has an oxygen concentration which is lower than the average oxygen concentration of the compressor intake flow, and at least one second partial intake flow, consisting of fresh air (2), are fed to the compressor (1) in an alternating manner in the circumferential direction of the inlet area. In addition, the invention relates to a gas turbine power plant with a gas turbine (6), the compressor inlet (3) of which comprises at least one first segment (51) and at least one second segment (52) which are arranged in an alternating manner around a compressor inlet in the circumferential direction, wherein a feed for an oxygen-reduced gas (21) is connected to the first segment (51) and a fresh air feed is connected to the second segment (52) of the compressor inlet (3).