  In this paper, we discuss the trace operator for homogeneous fractional
Sobolev spaces over infinite strip-like domains. We determine intrinsic
seminorms on the trace space that allow for a bounded right inverse. The
intrinsic seminorm includes two features previously used to describe the trace
of homogeneous Sobolev spaces, a relation between the two disconnected
components of the trace and the screened Sobolev seminorm. However, unlike its
homogeneous Sobolev space equivalent, fractional Sobolev spaces require a far
screened Sobolev seminorm that captures the non-local properties of fractional
Sobolev spaces. We study some basic relationships between this new far screened
Sobolev space with previously discussed screened Sobolev spaces.
