Academic Journal
Limit points for descent spectrum of operator matrices
العنوان: | Limit points for descent spectrum of operator matrices |
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المؤلفون: | Boua H., Karmouni M., Tajmouati A. |
المصدر: | Moroccan Journal of Pure and Applied Analysis, Vol 8, Iss 3, Pp 358-363 (2022) |
بيانات النشر: | Sciendo, 2022. |
سنة النشر: | 2022 |
المجموعة: | LCC:Mathematics |
مصطلحات موضوعية: | descent spectrum, single-valued extension property, operator matrices, 47a10, 47a11, Mathematics, QA1-939 |
الوصف: | In this paper, we investigate the limit points set of descent spectrum of upper triangular operator matrices MC=(AC0B){M_C} = \left( {\matrix{A \hfill & C \hfill \cr 0 \hfill & B \hfill \cr } } \right). We prove that acc(σdes(MC)) ∪ Waccσdes = acc(σdes(A)) ∪ acc(σdes(B)) where Waccσdes is the union of certain holes in acc(σdes(MC)), which happen to be subsets of acc(σasc(B)) ∩ acc(σdes(A)). Furthermore, several sufficient conditions for acc(σdes(MC)) = acc(σdes(A)) ∪ acc(σdes(B)) holds for every C ∈ ℬ(Y, X) are given. |
نوع الوثيقة: | article |
وصف الملف: | electronic resource |
اللغة: | English |
تدمد: | 2351-8227 47370254 |
Relation: | https://doaj.org/toc/2351-8227 |
DOI: | 10.2478/mjpaa-2022-0024 |
URL الوصول: | https://doaj.org/article/7c2acc91b45e42d78e47370254058dc7 |
رقم الانضمام: | edsdoj.7c2acc91b45e42d78e47370254058dc7 |
قاعدة البيانات: | Directory of Open Access Journals |
تدمد: | 23518227 47370254 |
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DOI: | 10.2478/mjpaa-2022-0024 |