First-order selfadjoint singular differential operators in a Hilbert space of vector functions
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Date
2017-06-17
Authors
Ipek, Pembe
Yilmaz, Bulent
Ismailov, Zameddin
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Multipoint singular differential expression, Deficiency indeces, symmetric and selfadjoint differential operator, Spectrum
Citation
Ipek, P., Yilmaz, B., & Ismailov, Z. I. (2017). First-order selfadjoint singular differential operators in a Hilbert space of vector functions. Electronic Journal of Differential Equations, 2017(143), pp. 1-8.
Rights
Attribution 4.0 International