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The g-Drazin Invertibility of a Block Operator Matrix
Mathematical Notes ( IF 0.6 ) Pub Date : 2024-03-12 , DOI: 10.1134/s0001434623110482 Huanyin Chen , Marjan Sheibani
中文翻译:
块算子矩阵的 g-Drazin 可逆性
更新日期:2024-03-13
Mathematical Notes ( IF 0.6 ) Pub Date : 2024-03-12 , DOI: 10.1134/s0001434623110482 Huanyin Chen , Marjan Sheibani
Abstract
We present new additive properties of the g-Drazin inverse of a linear operator on a Banach space. The g-Drazin invertibility of certain \(2\times 2\) block operator matrices on a Banach space is thereby established. These results extend many known results, e.g., by Yang and Liu [J. Comput. Applied Math. 235, 1412–1417 (2011)] and Dopazo and Martinez-Serrano [Linear Algebra Appl. 432, 1896–1904 (2010)].
中文翻译:
块算子矩阵的 g-Drazin 可逆性
摘要
我们提出了 Banach 空间上线性算子的 g-Drazin 逆的新加性性质。由此建立了 Banach 空间上某些\(2\times 2\)分块算子矩阵的 g-Drazin 可逆性。这些结果扩展了许多已知的结果,例如 Yang 和 Liu 的结果 [J. 计算。应用数学。235 , 1412–1417 (2011)] 和 Dopazo 和 Martinez-Serrano [线性代数应用。432,1896-1904(2010)]。