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

2023/03/28 by Gou, Haibo, Chen, Huanyin
#15A09 #32A65 #47A08 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2303.15717

Abstract

We investigate the Hirano invertibility of block-operator matrices in Banach algebras, and obtain the Hirano inverse of matrix \beginbmatrix A&B C&D \endbmatrix 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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