Abstract
In this paper we consider a \(2 \times 2\) operator matrix \(H\). We construct an analog of the well-known Faddeev equation for the eigenvectors of \(H\) and study some important properties of this equation, related with the number of eigenvalues. In particular, the Birman–Schwinger principle for \(H\) is proven.
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ACKNOWLEDGMENTS
We thank a reviewer for valuable critical remarks.
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This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.
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Rasulov, T.H., Dilmurodov, E.B. Main Properties of the Faddeev Equation for 2 × 2 Operator Matrices. Russ Math. 67, 47–52 (2023). https://doi.org/10.3103/S1066369X2312006X
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DOI: https://doi.org/10.3103/S1066369X2312006X