Stability Theory for Nullity and Deficiency of Linear Relations

Silas Luliro Kito and Gerald Wanjala

Abstract and Applied Analysis, 2021, vol. 2021, issue 1

Abstract: Let A and B be two closed linear relations acting between two Banach spaces X and Y, and let λ be a complex number. We study the stability of the nullity and deficiency of A when it is perturbed by λB. In particular, we show the existence of a constant ρ > 0 for which both the nullity and deficiency of A remain stable under perturbation by λB for all λ inside the disk |λ|

Date: 2021
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https://doi.org/10.1155/2021/5517215

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2021:y:2021:i:1:n:5517215

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