Ćurgus, Branko; Derkach, Volodymyr; Trunk, Carsten Indefinite Sturm-Liouville operators in polar form. (English) Zbl 07812575 Integral Equations Oper. Theory 96, No. 1, Paper No. 2, 58 p. (2024). MSC: 47B50 34B24 46C20 47B25 34L10 PDFBibTeX XMLCite \textit{B. Ćurgus} et al., Integral Equations Oper. Theory 96, No. 1, Paper No. 2, 58 p. (2024; Zbl 07812575) Full Text: DOI arXiv
Derkach, Vladimir Boundary triplets, Weyl functions, and the Kreĭn formula. (English) Zbl 1347.47015 Alpay, Daniel (ed.), Operator theory. With 51 figures and 2 tables. In 2 volumes. Basel: Springer (ISBN 978-3-0348-0666-4/print; 978-3-0348-0667-1/ebook; 978-3-0348-0668-8/print+ebook; 978-3-0348-0692-3/online (updated continuously)). Springer Reference, 183-218 (2015). Reviewer: Carsten Trunk (Ilmenau) MSC: 47B25 47B50 47-02 PDFBibTeX XMLCite \textit{V. Derkach}, in: Operator theory. With 51 figures and 2 tables. In 2 volumes. Basel: Springer. 183--218 (2015; Zbl 1347.47015) Full Text: DOI
Ćurgus, Branko; Derkach, Vladimir Partially fundamentally reducible operators in Kreĭn spaces. (English) Zbl 1334.47039 Integral Equations Oper. Theory 82, No. 4, 469-518 (2015). Reviewer: Andreas Fleige (Dortmund) MSC: 47B50 46C20 47B25 34B20 PDFBibTeX XMLCite \textit{B. Ćurgus} and \textit{V. Derkach}, Integral Equations Oper. Theory 82, No. 4, 469--518 (2015; Zbl 1334.47039) Full Text: DOI arXiv
Derkach, Vladimir; Hassi, Seppo; Malamud, Mark; de Snoo, Henk Boundary triplets and Weyl functions. Recent developments. (English) Zbl 1320.47024 Hassi, Seppo (ed.) et al., Operator methods for boundary value problems. Cambridge: Cambridge University Press (ISBN 978-1-107-60611-1/pbk; 978-1-139-13506-1/ebook). London Mathematical Society Lecture Note Series 404, 161-220 (2012). Reviewer: Edward L. Pekarev (Odessa) MSC: 47B25 47B50 47A20 47A56 47N20 47A48 47-02 PDFBibTeX XMLCite \textit{V. Derkach} et al., Lond. Math. Soc. Lect. Note Ser. 404, 161--220 (2012; Zbl 1320.47024)
Derkach, V.; Hassi, S.; Malamud, M.; De Snoo, H. Boundary relations and generalized resolvents of symmetric operators. (English) Zbl 1182.47026 Russ. J. Math. Phys. 16, No. 1, 17-60 (2009). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47B25 47A20 47A06 47A10 47A48 47B50 PDFBibTeX XMLCite \textit{V. Derkach} et al., Russ. J. Math. Phys. 16, No. 1, 17--60 (2009; Zbl 1182.47026) Full Text: DOI arXiv
Derkach, Vladimir; Hassi, Seppo; Malamud, Mark; De Snoo, Henk Boundary relations and their Weyl families. (English) Zbl 1123.47004 Trans. Am. Math. Soc. 358, No. 12, 5351-5400 (2006). Reviewer: Leiba Rodman (Williamsburg) MSC: 47A06 47A20 47A56 47B25 47A48 47B50 PDFBibTeX XMLCite \textit{V. Derkach} et al., Trans. Am. Math. Soc. 358, No. 12, 5351--5400 (2006; Zbl 1123.47004) Full Text: DOI
Derkach, Vladimir; Hassi, Seppo A reproducing kernel space model for \(\mathbf{N}_\kappa\)-functions. (English) Zbl 1055.47019 Proc. Am. Math. Soc. 131, No. 12, 3795-3806 (2003). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 47B25 47B50 46C20 46E22 30D60 PDFBibTeX XMLCite \textit{V. Derkach} and \textit{S. Hassi}, Proc. Am. Math. Soc. 131, No. 12, 3795--3806 (2003; Zbl 1055.47019) Full Text: DOI
Derkach, Vladimir; Hassi, Seppo; de Snoo, Henk Operator models associated with singular perturbations. (English) Zbl 0989.47019 Methods Funct. Anal. Topol. 7, No. 3, 1-21 (2001). Reviewer: A.N.Kochubei (Kyïv) MSC: 47B25 47B50 81Q10 47A55 46C20 47A45 PDFBibTeX XMLCite \textit{V. Derkach} et al., Methods Funct. Anal. Topol. 7, No. 3, 1--21 (2001; Zbl 0989.47019)
Amirshadyan, Arthur; Derkach, Vladimir Interpolation in generalized Nevanlinna and Stieltjes classes. (English) Zbl 0997.47012 J. Oper. Theory 42, No. 1, 145-188 (1999). MSC: 47A57 47B50 47B25 30E05 46E22 PDFBibTeX XMLCite \textit{A. Amirshadyan} and \textit{V. Derkach}, J. Oper. Theory 42, No. 1, 145--188 (1999; Zbl 0997.47012)
Derkach, Vladimir; Hassi, Seppo; de Snoo, Henk Operator models associated with Kac subclasses of generalized Nevanlinna functions. (English) Zbl 0948.47028 Methods Funct. Anal. Topol. 5, No. 1, 65-87 (1999). MSC: 47B25 47B50 30D50 PDFBibTeX XMLCite \textit{V. Derkach} et al., Methods Funct. Anal. Topol. 5, No. 1, 65--87 (1999; Zbl 0948.47028)
Derkach, Vladimir On Krein space symmetric linear relations with gaps. (English) Zbl 0943.47028 Methods Funct. Anal. Topol. 4, No. 2, 16-40 (1998). Reviewer: A.N.Kochubei (Kyïv) MSC: 47B50 47B25 47A20 PDFBibTeX XMLCite \textit{V. Derkach}, Methods Funct. Anal. Topol. 4, No. 2, 16--40 (1998; Zbl 0943.47028)
Derkach, V. Indefinite moment problem and resolvent matrices of Hermitian operators in Krein spaces. (English) Zbl 0900.44006 Z. Angew. Math. Mech. 76, Suppl. 2, 511-512 (1996). MSC: 44A60 47B15 PDFBibTeX XMLCite \textit{V. Derkach}, Z. Angew. Math. Mech. 76, 511--512 (1996; Zbl 0900.44006)
Derkach, V. A.; Malamud, M. M. The resolvent matrix of an Hermitian operator and a moment problem with gaps. (English. Russian original) Zbl 0756.47027 Sov. Math., Dokl. 42, No. 2, 429-435 (1991); translation from Dokl. Akad. Nauk SSSR 314, No. 2, 273-278 (1990). Reviewer: S.Richter (Knoxville) MSC: 47B25 47A10 47A57 47B15 44A60 47A20 PDFBibTeX XMLCite \textit{V. A. Derkach} and \textit{M. M. Malamud}, Sov. Math., Dokl. 42, No. 2, 429--435 (1990; Zbl 0756.47027); translation from Dokl. Akad. Nauk SSSR 314, No. 2, 273--278 (1990)
Derkach, V. A.; Malamud, M. M. A class of Hermitian operator extensions and the Weyl function. (English. Russian original) Zbl 0715.47013 Sov. Math. 33, No. 5, 116-122 (1989); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1989, No. 5(324), 71-75 (1989). Reviewer: L.Zsido MSC: 47B25 47A56 47A20 PDFBibTeX XMLCite \textit{V. A. Derkach} and \textit{M. M. Malamud}, Sov. Math. 33, No. 5, 116--122 (1989; Zbl 0715.47013); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1989, No. 5(324), 71--75 (1989)
Derkach, V. A.; Malamud, M. M. A class of Hermitian operator extensions and the Weyl function. (English. Russian original) Zbl 0738.47020 Sov. Math. 33, No. 5, 116-122 (1989); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1989, No. 5(324), 71-75 (1989). Reviewer: L.Zsido (Roma) MSC: 47B25 47A56 47A20 PDFBibTeX XMLCite \textit{V. A. Derkach} and \textit{M. M. Malamud}, Sov. Math. 33, No. 5, 116--122 (1989; Zbl 0738.47020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1989, No. 5(324), 71--75 (1989)
Derkach, V. A.; Malamud, M. M. On the Weyl function and Hermitian operators with gaps. (English. Russian original) Zbl 0655.47005 Sov. Math. Dokl. 35, 393-398 (1987); translation from Dokl. Akad. Nauk SSSR 293, 1041-1046 (1987). Reviewer: J.Brüning MSC: 47A10 47A20 47B25 47A56 PDFBibTeX XMLCite \textit{V. A. Derkach} and \textit{M. M. Malamud}, Sov. Math., Dokl. 35, 393--398 (1987; Zbl 0655.47005); translation from Dokl. Akad. Nauk SSSR 293, 1041--1046 (1987)