Dostanić, M. Generalized eigenvector expansion for weakly perturbed discrete operators. (English) Zbl 0819.47026 Mat. Vesn. 45, No. 1-4, 61-64 (1993). Summary: We consider the expansion theorem in generalized eigenvectors of the operator \(A= L+ T\), where \(L\) is a discrete, positive selfadjoint operator in a separable Hilbert space, and \(T\) is a closed operator which is subordinated to \(L\) in a certain sense. MSC: 47A70 (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces 47A55 Perturbation theory of linear operators Keywords:expansion theorem in generalized eigenvectors; positive selfadjoint operator in a separable Hilbert space; closed operator PDFBibTeX XMLCite \textit{M. Dostanić}, Mat. Vesn. 45, No. 1--4, 61--64 (1993; Zbl 0819.47026)