Dissipative canonical type differential operators for first order | Zendy

Rukiye Öztürk Mert | Zendy; Zameddin I. İsmailov | Zendy; Pembe İpek Al | Zendy

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Dissipative canonical type differential operators for first order

Author(s) -

Rukiye Öztürk Mert,

Zameddin I. İsmailov,

Pembe İpek Al

Publication year - 2020

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1912-52

Subject(s) - mathematics , dissipative operator , dissipative system , hilbert space , differential operator , pure mathematics , type (biology) , operator (biology) , order (exchange) , spectrum (functional analysis) , canonical form , set (abstract data type) , mathematical analysis , ecology , biochemistry , chemistry , physics , finance , repressor , quantum mechanics , gene , transcription factor , computer science , economics , biology , programming language

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.

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