Stability of eigenvalues of singular integral equations
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 17, Tome 165 (1987), pp. 136-142
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A complex number $\lambda$ is called the stable eigenvalue of an operator $A$ iff $\operatorname{Ker}(A-\lambda I+C)\ne\{\mathbb{O}\}$ for anv coropact operator $C$. In. the article the description is given of the stable- eigenvalues for a class of operators including some classical ones. Besides, there is discussed the stability of the whole point spectrum and the mutual stability of different eigenvalues.