Work

Point spectrum, residual spectrum, and continuous spectrum of unbounded upper triangular operator matrices

Year: 2025

Type: article

Abstract: This paper examines the completion of the point spectrum, residual spectrum, and continuous spectrum of an unbounded operator matrix acting in a Hilbert space. The necessary and sufficient conditions for the point spectrum of an unbounded operator matrix to be equal to the union of the point spectra of its diagonal entries are presented.

Source: Thermal Science

DOI: 10.2298/tsci2503811b

Authors: Qingmei Bai, Alatancang Chen, Junjie Huang

Institutions: Inner Mongolia Normal University, Hohhot Minzu College, Inner Mongolia University

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $161

Funder: National Natural Science Foundation of China