Geodesic
A characterization of the essential spectrum and applications
Bollettino della Unione matematica italiana, Série 8, 5B (2002) no. 3, pp. 805-825

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In this article the essential spectrum of closed, densely defined linear operators is characterized on a large class of spaces, which possess the Dunford-Pettis property or which isomorphic to one of the spaces $L_{p}(\Omega)$$p>1$. A practical criterion guaranteeing its stability, for perturbed operators, is given. Further we apply the obtained results to investigate the essential spectrum of one-dimensional transport equation with general boundary conditions. Finally, sufficient conditions in terms of boundary and collision operators assuring the invariance of the essential spectrum of the streaming operator are discussed. 
Jeribi, Aref. A characterization of the essential spectrum and applications. Bollettino della Unione matematica italiana, Série 8, 5B (2002) no. 3, pp. 805-825. http://geodesic.mathdoc.fr/item/BUMI_2002_8_5B_3_a14/
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     title = {A characterization of the essential spectrum and applications},
     journal = {Bollettino della Unione matematica italiana},
     pages = {805--825},
     year = {2002},
     volume = {Ser. 8, 5B},
     number = {3},
     zbl = {1099.47501},
     mrnumber = {MR1934382},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2002_8_5B_3_a14/}
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