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Gustafson, weidmann, kato, wolf, schechter and browder essential spectra of some matrix operator and application to two‐group transport equation
Author(s) -
Jeribi Aref,
Walha Ines
Publication year - 2011
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200710125
Subject(s) - mathematics , banach space , operator (biology) , group (periodic table) , matrix (chemical analysis) , block (permutation group theory) , operator matrix , pure mathematics , space (punctuation) , combinatorics , discrete mathematics , chemistry , biochemistry , linguistics , philosophy , organic chemistry , repressor , chromatography , transcription factor , gene
In this paper, we investigate the Gustafson, Weidmann, Kato, Wolf, Schechter and Browder essential spectra of a 2 × 2 block matrix operator defined on a Banach space where entries are unbounded operators between Banach spaces and with domains consisting of vectors satisfying certain relations between their components under some properties. Furthermore, we give an application to two‐group transport equation. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim