On singular points in the essential spectrum
Functional Analysis
2025-10-14 v1
Abstract
The paper investigates the existence of a limit in the operator norm for a family of operators for tending to the real axis. The conditions for the operator and the rigging operator are established, under which the limit exists. Special attention is paid to the separation of cases when the limit point belongs and does not belong to the point spectrum .
Cite
@article{arxiv.2510.11025,
title = {On singular points in the essential spectrum},
author = {Alexander Plakhotnikov},
journal= {arXiv preprint arXiv:2510.11025},
year = {2025}
}
Comments
5 pages; comments welcome;