Zameddin I. Ismailov, Rukiye Ozturk Mert
In this work, we describe all normal extensions of the minimal operator generated by linear singular multipoint formally normal differential expression , with selfadjoint operator coefficients in a Hilbert space. This is done as a direct sum of Hilbert spaces of vector-functions
where . Also, we study the structure of the spectrum of these extensions.
Submitted August 10, 2011. Published Match 7, 2012.
Math Subject Classifications: 47A10, 47A20.
Key Words: Multipoint differential operators; selfadjoint and normal extension; spectrum.
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| Zameddin I. Ismailov |
Department of Mathematics, Faculty of Sciences
Karadeniz Technical University
61080, Trabzon, Turkey
| Rukiye Öztürk Mert |
Department of Mathematics, Art and Science Faculty
19030, Corum, Turkey
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