  We apply the well-known and also the newly introduced notions from bounded
linear dynamics to unbounded linear operators. We present a hypermixing
criterion similar to that given for bounded linear operators and then we show
that the derivative operator in $H^2$, the Laplacian operator in $L^2(\Omega)$,
and all unbounded weighted translations in $L_p(0,\infty)$ and $C_0[0,\infty)$
are hypermixing.
