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S‐essential spectra and application to an example of transport operators
Author(s) -
Jeribi Aref,
Moalla Nedra,
Yengui Sonia
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1564
Subject(s) - mathematics , banach space , operator (biology) , essential spectrum , spectral line , boundary value problem , space (punctuation) , spectrum (functional analysis) , c0 semigroup , differential operator , pure mathematics , mathematical analysis , computer science , chemistry , physics , biochemistry , repressor , quantum mechanics , astronomy , transcription factor , gene , operating system
In this article, we give some results on the S ‐essential spectra of a linear operator defined on a Banach space. Furthermore, we apply the obtained results to determine the S ‐essential spectra of an integro‐differential operator with abstract boundary conditions in the Banach space L p ([− a , a ] × [−1,1]), p ≥ 1 and a > 0. Copyright © 2012 John Wiley & Sons, Ltd.