Non self-adjoint correct restrictions and extensions with real spectrum
Spectral Theory
2021-02-02 v2 Functional Analysis
Abstract
The work is devoted to the study of the similarity of a correct restriction to some self-adjoint operator in the case when the minimal operator is symmetric. The resulting theorem was applied to the Sturm-Liouville operator and the Laplace operator. It is shown that the spectrum of a non self-adjoint singularly perturbed operator is real and the corresponding system of eigenvectors forms a Riesz basis.
Cite
@article{arxiv.2101.09959,
title = {Non self-adjoint correct restrictions and extensions with real spectrum},
author = {B. N. Biyarov and Z. A. Zakarieva and G. K. Abdrasheva},
journal= {arXiv preprint arXiv:2101.09959},
year = {2021}
}
Comments
9 pages