×

Generalized eigenvector expansion for weakly perturbed discrete operators. (English) Zbl 0819.47026

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
PDFBibTeX XMLCite