A computer-implemented method for implementing a full space dynamic address translation (“DAT”) structure and a subspace DAT structure is provided. A non-limiting example of the computer-implemented method includes determining, by a processor, that switching between the full space DAT structure and the subspace DAT structure is enabled by examining a bit in a control register. The method determines, by the processor, that there is a new context different from an existing context based on the bit in the control register indicating that switching is enabled, and switches, by the processor, the context of the DAT structures based on determining that the new context is different from the existing context.