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Eurasian Mathematical Journal, 2014, том 5, номер 3, страницы 117–124
(Mi emj168)
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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
Short communications
Normal extensions of a singular differential operator on the right semi-axis
Z. I. Ismailova, R. Öztürk Mertb a Department of Mathematics, Karadeniz Technical University,
61080 Trabzon, Turkey
b Department of Mathematics, Hitit University, 19030, Corum, Turkey
Аннотация:
In this work, based on the method of Everitt–Zettl and using the Calkin–Gorbachuk method, all normal extensions of the minimal operator generated by a linear singular formally normal differential-operator expression of the first order in Hilbert spaces of vector-functions on the right semi-axis in terms of boundary values are described. Furthermore, the structure of the spectrum of these extensions is investigated.
Ключевые слова и фразы:
Everitt–Zettl and Calkin–Gorbachuk methods, singular differential operators, normal extension, spectrum.
Поступила в редакцию: 06.02.2014
Образец цитирования:
Z. I. Ismailov, R. Öztürk Mert, “Normal extensions of a singular differential operator on the right semi-axis”, Eurasian Math. J., 5:3 (2014), 117–124
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj168 https://www.mathnet.ru/rus/emj/v5/i3/p117
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Страница аннотации: | 232 | PDF полного текста: | 79 | Список литературы: | 41 |
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