Abstract
In this paper, we investigate the essential approximate point spectrum and the essential defect spectrum of a 2 × 2 block operator matrix on a Banach space. Furthermore, we apply the obtained results to two-group transport operators in the Banach space L p ([−a, a] × [−1, 1]) × L p ([−a, a] × [−1, 1]), a > 0, p ≥ 1.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Charfi, S., Jeribi, A. On a characterization of the essential spectra of some matrix operators and application to two-group transport operators. Math. Z. 262, 775–794 (2009). https://doi.org/10.1007/s00209-008-0399-1
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DOI: https://doi.org/10.1007/s00209-008-0399-1