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

Haibo Gou; Huanyin Chen

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

Functional Analysis 2023-03-29 v1

Authors: Haibo Gou , Huanyin Chen

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.

Keywords

Hirano invertibility operator matrices Banach algebras perturbation tripotent nilpotent block operators

Cite

@article{arxiv.2303.15717,
  title  = {Study on Hirano Invertibility of Two New Types of Perturbed Operator Matrices},
  author = {Haibo Gou and Huanyin Chen},
  journal= {arXiv preprint arXiv:2303.15717},
  year   = {2023}
}

Comments

15pages

Related papers

View all related →