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Stability Theory for Nullity and Deficiency of Linear Relations

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  • Silas Luliro Kito
  • Gerald Wanjala

Abstract

Let and be two closed linear relations acting between two Banach spaces and , and let be a complex number. We study the stability of the nullity and deficiency of when it is perturbed by . In particular, we show the existence of a constant for which both the nullity and deficiency of remain stable under perturbation by for all inside the disk .

Suggested Citation

  • Silas Luliro Kito & Gerald Wanjala, 2021. "Stability Theory for Nullity and Deficiency of Linear Relations," Abstract and Applied Analysis, Hindawi, vol. 2021, pages 1-13, August.
    • Handle: RePEc:hin:jnlaaa:5517215
    DOI: 10.1155/2021/5517215
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