In this paper we use the notion of measure of non-strict-singularity to give some results on Fredholm operators and we establish a fine description of the Schechter essential spectrum of a closed densely defined linea...In this paper we use the notion of measure of non-strict-singularity to give some results on Fredholm operators and we establish a fine description of the Schechter essential spectrum of a closed densely defined linear operator.展开更多
The spectrum of the transport operator A in a nonhomogeneous slab withcontinuous energy is discussed in consideration of anisotropic scattering and fission. Weshow the relative compactness of the perturbation K = A - ...The spectrum of the transport operator A in a nonhomogeneous slab withcontinuous energy is discussed in consideration of anisotropic scattering and fission. Weshow the relative compactness of the perturbation K = A - B, investigate the spectrumof A, especially obtain the essential spectrum and the asymptotic point spectrum in L1space which is the most natural space for the transport theory.展开更多
文摘In this paper we use the notion of measure of non-strict-singularity to give some results on Fredholm operators and we establish a fine description of the Schechter essential spectrum of a closed densely defined linear operator.
文摘The spectrum of the transport operator A in a nonhomogeneous slab withcontinuous energy is discussed in consideration of anisotropic scattering and fission. Weshow the relative compactness of the perturbation K = A - B, investigate the spectrumof A, especially obtain the essential spectrum and the asymptotic point spectrum in L1space which is the most natural space for the transport theory.
