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Математическая физика, анализ, геометрия, 2003, том 10, номер 1, страницы 49–60
(Mi jmag231)
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Эта публикация цитируется в 10 научных статьях (всего в 10 статьях)
Some stability theorems on narrow operators acting in $L_1$ and $C(K)$
V. M. Kadetsa, M. M. Popovb a Department of Mechanics and Mathematics, V. N. Karazin Kharkov National University, 4 Svobody Sq., Kharkov, 61077, Ukraine
b Department of Mechanics and Mathematics, Chernivtsi National University, 2 Kotsiubyns'kogo Str., Chernivtsi, 58012, Ukraine
Аннотация:
A new proof of two stability theorems concerning narrow operators acting from $L_1$ to $L_1$ or from $C(K)$ to an arbitrary Banach space is given. Namely a sum of two such operators and moreover a sum of a point-wise unconditionally convergent series of such operators is a narrow operator again. The relations between several possible definitions of narrow operators on $L_1$ are also discussed.
Поступила в редакцию: 28.02.2002
Образец цитирования:
V. M. Kadets, M. M. Popov, “Some stability theorems on narrow operators acting in $L_1$ and $C(K)$”, Матем. физ., анал., геом., 10:1 (2003), 49–60
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jmag231 https://www.mathnet.ru/rus/jmag/v10/i1/p49
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Страница аннотации: | 172 | PDF полного текста: | 78 |
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