Zameddin I. Ismailov, Pembe Ipek
Abstract:
Based on Calkin-Gorbachuk method, we describe all selfadjoint extensions
of the minimal operator generated by linear multipoint singular symmetric
differential-operator, as a direct sum of weighted Hilbert space of
vector-functions. Another approach to the investigation of this problem
has been done by Everitt, Zettl and Markus. Also we study the structure
of spectrum of these extensions.
Submitted August 25, 2015. Published January 12, 2016.
Math Subject Classifications: 47A10, 47B38.
Key Words: Singular Selfadjoint differential operator; spectrum.
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Zameddin I. Ismailov Karadeniz Technical University Department of Mathematics 61080, Trabzon, Turkey email: zameddin.ismailov@gmail.com | |
Pembe Ipek Karadeniz Technical University Department of Mathematics 61080, Trabzon, Turkey email: ipekpembe@gmail.com |
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