Representation of all maximally accretive differential operators for first order
Yıl: 2020 Cilt: 22 Sayı: 2 Sayfa Aralığı: 439 - 447 Metin Dili: İngilizce DOI: 10.25092/baunfbed.707694 İndeks Tarihi: 29-07-2022
Representation of all maximally accretive differential operators for first order
Öz: In the present paper, we construct the minimal and maximal operators generated by special type linear differential-operator expression for first order in the weighted Hilbert space of vector-functions defined on right semi-axis with the use of standard technique. In this case, the minimal operator is accretive but not maximal. Our main goal in this paper is to describe the general form of all maximally accretive extensions of the minimal operator in the weighted Hilbert space of vector-functions. Using the Calkin-Gorbachuk method, the general representation of all maximally accretive extensions of this minimal operator in terms of boundary conditions is obtained. We also investigate the structure of the spectrum set such maximally accretive extensions of this type of minimal operator.
Anahtar Kelime: Birinci dereceden tüm maksimal akretif diferansiyel operatörlerin gösterimi
Öz: Bu çalışmada, standart teknik kullanılarak, sağ yarı eksende tanımlanan vektör-fonksiyonlarının ağırlıklı Hilbert uzayında birinci mertebeden özel tip lineer diferansiyel-operatör ifadesi tarafından üretilen minimal ve maksimal operatörleri yapılandırdık. Bu durumda, minimal operatör akretif olup maksimal değildir. Bu çalışmadaki asıl amacımız, vektör fonksiyonlarının ağırlıklı Hilbert uzayında, minimal operatörün tüm maksimal akretif genişlemelerinin genel formunu tanımlamaktır. Calkin-Gorbachuk metodu kullanılarak, bu minimal operatörün tüm maksimal akretif genişlemelerinin genel gösterimi sınır değerleri dilinde ifade edilmiştir. Ayrıca bu minimal operatörün maksimal akretif genişlemelerinin spektrum yapısı araştırılmıştır.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | Öztürk Mert R, IPEK P, Ismailov Z (2020). Representation of all maximally accretive differential operators for first order. , 439 - 447. 10.25092/baunfbed.707694 |
| Chicago | Öztürk Mert Rukiye,IPEK Pembe,Ismailov Zameddin Representation of all maximally accretive differential operators for first order. (2020): 439 - 447. 10.25092/baunfbed.707694 |
| MLA | Öztürk Mert Rukiye,IPEK Pembe,Ismailov Zameddin Representation of all maximally accretive differential operators for first order. , 2020, ss.439 - 447. 10.25092/baunfbed.707694 |
| AMA | Öztürk Mert R,IPEK P,Ismailov Z Representation of all maximally accretive differential operators for first order. . 2020; 439 - 447. 10.25092/baunfbed.707694 |
| Vancouver | Öztürk Mert R,IPEK P,Ismailov Z Representation of all maximally accretive differential operators for first order. . 2020; 439 - 447. 10.25092/baunfbed.707694 |
| IEEE | Öztürk Mert R,IPEK P,Ismailov Z "Representation of all maximally accretive differential operators for first order." , ss.439 - 447, 2020. 10.25092/baunfbed.707694 |
| ISNAD | Öztürk Mert, Rukiye vd. "Representation of all maximally accretive differential operators for first order". (2020), 439-447. https://doi.org/10.25092/baunfbed.707694 |
| APA | Öztürk Mert R, IPEK P, Ismailov Z (2020). Representation of all maximally accretive differential operators for first order. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 22(2), 439 - 447. 10.25092/baunfbed.707694 |
| Chicago | Öztürk Mert Rukiye,IPEK Pembe,Ismailov Zameddin Representation of all maximally accretive differential operators for first order. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22, no.2 (2020): 439 - 447. 10.25092/baunfbed.707694 |
| MLA | Öztürk Mert Rukiye,IPEK Pembe,Ismailov Zameddin Representation of all maximally accretive differential operators for first order. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.22, no.2, 2020, ss.439 - 447. 10.25092/baunfbed.707694 |
| AMA | Öztürk Mert R,IPEK P,Ismailov Z Representation of all maximally accretive differential operators for first order. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2020; 22(2): 439 - 447. 10.25092/baunfbed.707694 |
| Vancouver | Öztürk Mert R,IPEK P,Ismailov Z Representation of all maximally accretive differential operators for first order. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2020; 22(2): 439 - 447. 10.25092/baunfbed.707694 |
| IEEE | Öztürk Mert R,IPEK P,Ismailov Z "Representation of all maximally accretive differential operators for first order." Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 22, ss.439 - 447, 2020. 10.25092/baunfbed.707694 |
| ISNAD | Öztürk Mert, Rukiye vd. "Representation of all maximally accretive differential operators for first order". Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22/2 (2020), 439-447. https://doi.org/10.25092/baunfbed.707694 |
