Abstract
Abstract In the time dependent linear transport theory two kinds of problems have been studied in the Hilbert space L2(R3 × R3): The reactor problem (with a boundary condition) and the multiple scattering problem (without a boundary condition). The aim of this paper is to give a complete description of the dynamics and the spectrum of the multiple scattering operator in the Banach lattice L1(R3 × R3), because this space is more relevant to the physics of the problem. For a wide class of such operators the spectrum is a subset of the imaginary axis.
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