TY - JOUR
T1 - Stability Theory for Nullity and Deficiency of Linear Relations
AU - Kito, Silas Luliro
AU - Wanjala, Gerald
N1 - Publisher Copyright:
© 2021 Silas Luliro Kito and Gerald Wanjala.
PY - 2021
Y1 - 2021
N2 - 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<ρ.
AB - 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<ρ.
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U2 - 10.1155/2021/5517215
DO - 10.1155/2021/5517215
M3 - Article
AN - SCOPUS:85113812537
SN - 1085-3375
VL - 2021
JO - Abstract and Applied Analysis
JF - Abstract and Applied Analysis
M1 - 5517215
ER -