  We examine the chaotic behavior of certain continuous linear operators on
infinite-dimensional Banach spaces, and provide several equivalent
characterizations of when these operators have infinite topological entropy.
  For example, it is shown that infinite topological entropy is equivalent to
non-zero topological entropy for translation operators on weighted Lebesgue
function spaces. In particular, finite non-zero entropy is impossible for this
class of operators, which answers a question raised by Yin and Wei.
