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On some subsets of Schechter's essential spectrum of a matrix operator and application to transport operator
Author(s) -
Ali Naouel Ben,
Jeribi Aref,
Moalla Nedra
Publication year - 2010
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.200710081
Subject(s) - mathematics , spectrum (functional analysis) , operator matrix , operator (biology) , finite rank operator , matrix (chemical analysis) , banach space , block (permutation group theory) , essential spectrum , product (mathematics) , compact operator , pure mathematics , combinatorics , computer science , physics , geometry , extension (predicate logic) , biochemistry , chemistry , programming language , materials science , repressor , quantum mechanics , transcription factor , composite material , gene
This paper is devoted to the investigation of the essential approximate point spectrum and the essential defect spectrum of a 2 × 2 block operator matrix on a product of Banach spaces. The obtained results are applied to a two‐group transport operators with general boundary conditions in the Banach space L p ([– a , a ] × [–1, 1]) × L p ([– a , a ] × [–1, 1]), a > 0, p ≥ 1 (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)