Managing translations across multiple contexts using a TLB with entries directed to multiple privilege levels and to multiple types of address spaces

A computer program product for managing translations, the computer program product comprising a computer readable storage medium having program instructions embodied therewith, the program instructions executable by a processor to cause the processor to:

• for a current context in control of a processor requesting access to a particular address, specify a virtual address with a logical partition identifier value indicating a privilege setting of the current context, a process identifier value indicating whether the address is within shared address space, and an effective address comprising at least a portion of the particular address;
• and
• in response to the virtual address not matching at least one entry within a translation lookaside buffer comprising at least one entry stored for at least one previous translation of at least one previous address, translate the virtual address into a real page number using at least one page table and adding a new entry to the translation lookaside buffer with the virtual address and the real page number, wherein each at least one entry within the translation lookaside buffer identifies a separate privilege setting from among a plurality of privilege settings and a separate indicator of whether the address is within the shared address space.