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arXiv · 2303.15717

Study on Hirano Invertibility of Two New Types of Perturbed Operator Matrices

Haibo Gou·Huanyin Chen
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Abstract

We investigate the Hirano invertibility of block-operator matrices in Banach algebras, and obtain the Hirano inverse of matrix $\begin{bmatrix} A&B\\ C&D \end{bmatrix}$ under two types of new perturbation conditions. Furthermore, we provide a new operator matrix decomposed into the sum of tripotent and nilpotent elements on Banach spaces.

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Haibo Gou, Huanyin Chen. 2023-03-28. Study on Hirano Invertibility of Two New Types of Perturbed Operator Matrices. https://arxiv.org/abs/2303.15717

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