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Fredholm properties of a class of coupled operator matrices and their applications.
- Source :
-
Annals of Functional Analysis . Apr2024, Vol. 15 Issue 2, p1-18. 18p. - Publication Year :
- 2024
-
Abstract
- This paper deals with Fredholm properties of the one-sided coupled operator matrix M = A B 0 D I 0 L I by means of generalized Schur factorization and the associated space decompositions. For λ ∈ C , some sufficient conditions are given for λ - M to be Fredholm (resp. left or right Fredholm), and these conclusions are further used to determine the essential spectra of a delay equation and a wave equation with acoustic boundary conditions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 26397390
- Volume :
- 15
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Annals of Functional Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 174877421
- Full Text :
- https://doi.org/10.1007/s43034-024-00318-z