Abstract: The invention relates to a method for the hydrothermal production of a microporous membrane. According to said method, a colloidal solution comprising zeolite frameworks with 4-ring, 6-ring, and/or 8-ring pores which are provided as crystallites whose size ranges from 2 to 25 nm is applied to a porous substrate with the aid of a wet application technique. The applied layer is contacted with a hydrothermal liquid, and a nanocrystalline, microporous zeolite layer having an average pore diameter of 0.2 to 0.45 nm is synthesized at temperatures ranging between 50 and 250° C. and at an autogenous pressure. Such a microporous membrane comprising a porous substrate and at least one nanocrystalline zeolite layer that is disposed thereupon and has an average pore diameter of 0.2 to 0.45 nm is advantageously suitable for use as a separating device for gas phase separation, making it possible to separate particularly N2O2, N2/CO2, H2/CO2, or CO2/CH4 gas mixtures.