Relatively Bounded Perturbations of a Closed Linear Relation and Its Adjoint

Guixin Xu and Marek Galewski

Discrete Dynamics in Nature and Society, 2022, vol. 2022, 1-6

Abstract: This paper is concerned with the relatively bounded perturbations of a closed linear relation and its adjoint in Hilbert spaces. A stability result about orthogonal projections onto the ranges of linear relations is obtained. By using this result, two perturbation theorems for a closed relation and its adjoint are given. These results generalize the corresponding results for single-valued linear operators to linear relations and some of which weaken certain assumptions of the related existing results.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:8072295

DOI: 10.1155/2022/8072295

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