Abstract

In this paper 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.

Keywords: Eigenvector expansion, discrete operator, weak perturbations.

MSC: 47A70, 47A55

Pages:  61$-$64     

Volume  45 ,  Issue  1$-$4 ,  1993