TY - JOUR TI - Point spectrum, residual spectrum, and continuous spectrum of unbounded upper triangular operator matrices AU - Bai Qingmei AU - Chen Alatancang AU - Huang Junjie JN - Thermal Science PY - 2025 VL - 29 IS - 3 SP - 1811 EP - 1820 PT - Article AB - 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.