Schulz-Baldes H (2022)
Publication Type: Journal article
Publication year: 2022
DOI: 10.1080/10236198.2022.2147002
For tridiagonal block Jacobi operators, the standard transfer operator techniques only work if the off-diagonal entries are invertible. Under suitable assumptions on the range and kernel of these off-diagonal operators which assure a homogeneous minimal coupling between the blocks, it is shown how to construct reduced transfer operators that have the usual Krein space unitarity property and also a crucial monotonicity in the energy variable. This allows to extend the results of oscillation theory to such systems.
APA:
Schulz-Baldes, H. (2022). Reduced transfer operators for singular difference equations. Journal of Difference Equations and Applications. https://doi.org/10.1080/10236198.2022.2147002
MLA:
Schulz-Baldes, Hermann. "Reduced transfer operators for singular difference equations." Journal of Difference Equations and Applications (2022).
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