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三阶上三角关系矩阵的本质谱性质
Essential Spectral Properties of Third-Order Upper Triangular Relation Matrices

DOI: 10.12677/pm.2025.155167, PP. 185-193

Keywords: 关系矩阵，本质谱，Weyl谱，本质近似点谱
Relation Matrix, Essential Spectrum, Weyl Spectrum, Essential Approximation Point Spectrum

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Abstract:

设 H 1 , H 2 , H 3 为无穷维复可分Hilbert空间，对给定关系 A∈？？( H 1 ),B∈？？( H 2 ),C∈？？( H 3 ) ，记 M D,E,F =( A D E 0 B F 0 0 C )∈？？( H 1 ⊕ H 2 ⊕ H 3 ) ，本文讨论了 D∈？？( H 2 , H 1 ) ， E∈？？( H 3 ,

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