A characterization of the essential spectrum and applications

Aref Jeribi

Bollettino dell'Unione Matematica Italiana (2002)

  • Volume: 5-B, Issue: 3, page 805-825
  • ISSN: 0392-4041

Abstract

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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 ⁢ Ω 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.

How to cite

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Jeribi, Aref. "A characterization of the essential spectrum and applications." Bollettino dell'Unione Matematica Italiana 5-B.3 (2002): 805-825. <http://eudml.org/doc/196180>.

@article{Jeribi2002,
abstract = {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.},
author = {Jeribi, Aref},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {transport equation; essential spectra; Dunford-Pettis property},
language = {eng},
month = {10},
number = {3},
pages = {805-825},
publisher = {Unione Matematica Italiana},
title = {A characterization of the essential spectrum and applications},
url = {http://eudml.org/doc/196180},
volume = {5-B},
year = {2002},
}

TY - JOUR
AU - Jeribi, Aref
TI - A characterization of the essential spectrum and applications
JO - Bollettino dell'Unione Matematica Italiana
DA - 2002/10//
PB - Unione Matematica Italiana
VL - 5-B
IS - 3
SP - 805
EP - 825
AB - 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.
LA - eng
KW - transport equation; essential spectra; Dunford-Pettis property
UR - http://eudml.org/doc/196180
ER -

References

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