Spectral properties of a class of positive semigroups on Banach lattices and streaming operators

摘要

We deal with a general streaming semigroup arising in transport theory. We show that in general such a semigroup has a direct decomposition into three simpler semigroups one of which extends to a group. A general spectral theory of them is given and is partly derived from that of a class of positive semigroups on Banach lattices.