Spectral properties of perturbed linear operators and their application to infinite matrices

Farid, F. O.

doi:10.1090/S0002-9939-1991-1057943-2

Spectral properties of perturbed linear operators and their application to infinite matrices
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by F. O. Farid PDF

Proc. Amer. Math. Soc. 112 (1991), 1013-1022 Request permission

Abstract:

In this paper, upper bounds for the difference between the eigenvalues and the eigenvectors of a closed linear operator $D$ and those of $D + F$, where $F$ is a bounded linear operator, are given in terms of the norm of $F$. These results are applied to approximate the eigenvalues and the eigenvectors of a diagonally infinite matrix by those of its corresponding diagonal matrix.

References

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