Normal extensions of a singular differential operator on the right semi-axis

Z. I. Ismailov ; R. Öztürk Mert

Eurasian mathematical journal, Tome 5 (2014) no. 3, pp. 117-124.

Résumé

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.

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