  We provide a systematic procedure to relate a three dimensional q-deformed
oscillator algebra to the corresponding algebra satisfied by canonical
variables describing noncommutative spaces. The large number of possible free
parameters in these calculations is reduced to a manageable amount by imposing
various different versions of PT-symmetry on the underlying spaces, which are
dictated by the specific physical problem under consideration. The
representations for the corresponding operators are in general non-Hermitian
with regard to standard inner products and obey algebras whose uncertainty
relations lead to minimal length, areas or volumes in phase space. We analyze
in particular one three dimensional solution which may be decomposed to a two
dimensional noncommutative space plus one commuting space component and also
into a one dimensional noncommutative space plus two commuting space
components. We study some explicit models on these type of noncommutative
spaces.
