  In this paper, we consider the theory of ELKO written in their polar form, in
which the spinorial components are converted into products of a real module
times a complex unitary phase while the covariance under spin transformations
is still maintained: we derive an intriguing conclusion about the structure of
ELKO in their polar decomposition when seen from the perspective of a new type
of adjunction procedure defined for ELKO themselves. General comments will be
given in the end.
