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Definitions of address space:

(1) The range of addresses available to a computer program. ANSI. (2) The complete range of addresses that are available to a programmer. (3) The area of virtual storage available for a particular job. (4) In the AIX operating system, the code, stack, and data that can be accessed by a process. IBM.
davinci01.man.ac.uk/ibmcxx/glossary/a.htm
Memory allocated to an application by the operating system. See virtual address space.
docs.rinet.ru/NTServak/glossary.htm
The set of memory addresses that a process may legally access. The potential address space in IRIX is either 2 32 (IRIX 5.3) or 2 64 (IRIX 6.0 and later); however only addresses that have been mapped by the kernel are legally accessible.
techpubs.sgi.com/library/tpl/cgi-bin/getdoc.cgi
A range of memory addresses available to an application program.
www.geocities.com/SiliconValley/Campus/8262/Databases/a/gct.html
In computing, an address space defines a context in which an address makes sense.Two addresses may be numerically the same, but refer to different things, if they belong to different address spaces.
en.wikipedia.org/wiki/Address_space