  A p-local compact group is an algebraic object modelled on the p-local
homotopy theory of classifying spaces of compact Lie groups and p-compact
groups. In the study of these objects unstable Adams operations, are of
fundamental importance. In this paper we define unstable Adams operations
within the theory of p-local compact groups, and show that such operations
exist under rather mild conditions. More precisely, we prove that for a given
p-local compact group G and a sufficiently large positive integer $m$, there
exists an injective group homomorphism from the group of p-adic units which are
congruent to 1 modulo p^m to the group of unstable Adams operations on G
