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7. On the Estimate of the Distance to Non-Invertibility

Author

Khanh, Do Cong, Thanh, Duong Dang Xuan, and Tri, Nguyen Cao

Abstract

In this article, we estimate the spectral radius of linear bounded operators on Banach spaces when they are subjected to perturbations of the single or multi-block structured form. Then, we derive formulae and bounds for structured distance to non-invertibility (resp. non-left, non-right invertible operator) of an invertible (resp. left, right invertible) operator on Banach spaces. Some special cases of that estimate will also be considered.

Published
2020
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