  We prove the Weyl-von Neumann-Berg theorem for quaternionic right linear
operators (not necessarily bounded) in a quaternionic Hilbert space: Let $N$ be
a right linear normal (need not be bounded) operator in a quaternionic
separable Hilbert space $H$. Then for a given $\epsilon>0$ there exists a
compact operator $K$ with $\|K\|<\epsilon$ and a diagonal operator $D$ on $H$
such that $N=D+K$.
