Stability Theory for Nullity and Deficiency of Linear Relations
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 λ B . 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 λ B for all λ inside the disk λ < ρ .
1983 ◽
Vol 95
(2)
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pp. 319-334
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1976 ◽
Vol 78
(2)
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pp. 355-383
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2016 ◽
Vol 7
(4)
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pp. 473-491
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2004 ◽
Vol 15
(02)
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pp. 183-209
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