Pembe Ipek, Bulent Yilmaz, Zameddin I. Ismailov
Abstract:
In this article, we give a representation of all selfadjoint extensions of
the minimal operator generated by first-order linear symmetric multipoint
singular differential expression, with operator coefficient in
the direct sum of Hilbert spaces of vector-functions defined at the
semi-infinite intervals. To this end we use the Calkin-Gorbachuk method.
Finally, the geometry of spectrum set of such extensions is researched.
Submitted March 17, 2017. Published June 17, 2017.
Math Subject Classifications: 47A10, 47B25.
Key Words: Multipoint singular differential expression; deficiency indeces;
symmetric and selfadjoint differential operator; spectrum.
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Pembe Ipek Karadeniz Technical University Institute of Natural Sciences 61080, Trabzon, Turkey email: ipekpembe@gmail.com |
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Bülent Yilmaz Marmara University Department of Mathematics Kadköy, 34722, Istanbul, Turkey email: bulentyilmaz@marmara.edu.tr |
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Zameddin I. Ismailov Karadeniz Technical University Department of Mathematics 61080, Trabzon, Turkey email: zameddin.ismailov@gmail.com |
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