Spectral Properties of a Transport Operator in a Slab with Integral Boundary ConditionsU

In this paper, the spectrum of a transport operator A in a slab with integral boundary conditions of Maxwell type is discussed in its natural space L1 G.. It is shown that the essential spectrum of the transport operator A occupies the left half plane Re lFyS and there exist only a finite number of eigenvalues of the transport operator A in each vertical band contained in the right half plane Re l )yS.