On linear chaos in function spaces

We show that, in $L_p(0,\mathrm{\infty })$ ($1\le p<\mathrm{\infty }$), bounded weighted translations as well as their unbounded counterparts are chaotic linear operators. We also extend the unbounded case to $C_0[0,\mathrm{\infty })$ and describe the spectra of the weighted translations provided the underlying spaces are complex.