In this paper we study the linear stationary transport problem in the external space of a sphere of radius a with perfect and diffuse reflection boundry conditions, constant total absorption cross section, albedo depending on the position. The use of analytical functional methods allows us to give the properties of eigenvalues of the integral transport operators defined in Lρ(a, ∞) spaces. We Show that the ergenfunctions are continuous compared to the spatial variable and that the operators are compact in Lρwith