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ЖУРНАЛЫ // Eurasian Mathematical Journal // Архив

Eurasian Math. J., 2014, том 5, номер 3, страницы 117–124 (Mi emj168)

Эта публикация цитируется 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.

MSC: 47A10

Поступила в редакцию: 06.02.2014

Язык публикации: английский



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