The Quasi-Fredholm Spectrum of 2 × 2 Upper Triangular Operator Matrices

主要运用内部项的拟Fredholm性质研究了2 × 2上三角型算子矩阵的拟Fredholm谱,并拓展到无界2 × 2上三角型算子矩阵的拟Fredholm谱。给出了具体例子加以说明结论的有效性。The Quasi-Fredholm Spectrum of 2 × 2 upper triangular operator matrices is studied by using the Quasi-Fredholm property of its internal entries, and extended to the Quasi-Fredholm spectrum of the triangular operator matrices on the unbounded 2 × 2. The example is given to illustrate the validity of the result.

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Publication Details

Journal
Pure Mathematics
Published
2025-01-01
DOI
https://doi.org/10.12677/pm.2025.154118
Primary Topic
Matrix Theory and Algorithms
Type
article
Field-Weighted Citation Impact
0.00
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article

The Quasi-Fredholm Spectrum of 2 × 2 Upper Triangular Operator Matrices

中秀 包
Pure Mathematics
Matrix Theory and Algorithms
article

The Quasi-Fredholm Spectrum of 2 × 2 Upper Triangular Operator Matrices

中秀 包
article en

Abstract

主要运用内部项的拟Fredholm性质研究了2 × 2上三角型算子矩阵的拟Fredholm谱,并拓展到无界2 × 2上三角型算子矩阵的拟Fredholm谱。给出了具体例子加以说明结论的有效性。The Quasi-Fredholm Spectrum of 2 × 2 upper triangular operator matrices is studied by using the Quasi-Fredholm property of its internal entries, and extended to the Quasi-Fredholm spectrum of the triangular operator matrices on the unbounded 2 × 2. The example is given to illustrate the validity of the result.

Pure MathematicsVol. 15(04)
Openalex Percentile: Top 91%
Matrix Theory and Algorithms
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The Quasi-Fredholm Spectrum of 2 × 2 Upper Triangular Operator Matrices — 中秀 包 · Pure Mathematics (2025) | TGRS Research Map | TGRS