First order self-adjoint multipoint quasi-differential operators

Authors: RUKİYE ÖZTÜRK MERT, BÜLENT YILMAZ, ZAMEDDİN İSMAİLOV

Abstract: In this paper, using the Calkin-Gorbachuk method, the general form of all self-adjoint operators generated by first order linear singular multipoint quasi-differential expressions in the direct sum of weighted Hilbert spaces of vector functions has been found. Later on, the geometry of the spectrum set of these type extensions was researched.

Keywords: Selfadjoint operators, multipoint quasi-differential expression, deficiency indices, spectrum

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