Stability Theory for Nullity and Deficiency of Linear Relations
نویسندگان
چکیده
Let A and id="M2"> mathvariant="script">B be two closed linear relations acting between Banach spaces id="M3"> X id="M4"> Y , let id="M5"> λ a complex number. We study the stability of nullity deficiency id="M6"> when it is perturbed by id="M7"> . In particular, we show existence constant id="M8"> ρ > 0 for which both id="M9"> remain stable under perturbation id="M10"> all id="M11"> inside disk id="M12"> <
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2021
ISSN: ['1687-0409', '1085-3375']
DOI: https://doi.org/10.1155/2021/5517215