Dissipative canonical type differential operators for first order

Authors: RUKİYE ÖZTÜRK MERT, ZAMEDDİN İSMAİLOV, PEMBE İPEK AL

Abstract: In this paper, using the Calkin-Gorbachuk method, the general form of all maximally dissipative extensions of the minimal operator generated by the first order linear symmetric canonical type quasi-differential expression in the weighted Hilbert space of vector functions has been found. Also, the spectrum set of these extensions has been investigated.

Keywords: Dissipative operator, quasi-differential operator, spectrum

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