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Simple eigenvectors of unbounded operators of the type "normal plus compact"

Gil M.

Opuscula Mathematica

2015

Vol. 35, no. 2

161--169

The paper deals with operators of the form A = S + B, where B is a compact operator in a Hilbert space H and S is an unbounded normal one in H, having a compact resolvent. We consider approximations of the eigenvectors of A, corresponding to simple eigenvalues by the eigenvectors of the operators An = S + Bn (n = 1, 2,...), where Bn is an n-dimensional operator. In addition, we obtain the error estimate of the approximation.

Absence of eigenvalues for integro-differential operators

Cojuhari P. A., Stanescu M.M.

Opuscula Mathematica

2003

Vol. 23

5-14

Sufficient conditions for the absence of eigenvalues of integro-differential operators are presented.