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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2003, Volume 10, Number 1, Pages 49–60 (Mi jmag231)  
This article is cited in 10 scientific papers (total in 10 papers)

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
Full-text PDF (243 kB) Citations (10)
Abstract: 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.
Received: 28.02.2002
Bibliographic databases:
Document Type: Article
MSC: 46B20, 46B04, 47B38
Language: English
Citation: V. M. Kadets, M. M. Popov, “Some stability theorems on narrow operators acting in $L_1$ and $C(K)$”, Mat. Fiz. Anal. Geom., 10:1 (2003), 49–60
Citation in format AMSBIB
\Bibitem{KadPop03}
\by V.~M.~Kadets, M.~M.~Popov
\paper Some stability theorems on narrow operators acting in $L_1$ and~$C(K)$
\jour Mat. Fiz. Anal. Geom.
\yr 2003
\vol 10
\issue 1
\pages 49--60
\mathnet{http://mi.mathnet.ru/jmag231}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1937046}
\zmath{https://zbmath.org/?q=an:1069.46006}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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