Derkach, Volodymyr; Hassi, Seppo; Malamud, Mark Generalized boundary triples. II: Some applications of generalized boundary triples and form domain invariant Nevanlinna functions. (English) Zbl 07747288 Math. Nachr. 295, No. 6, 1113-1162 (2022). MSC: 47A10 47A20 47B25 34B08 35J25 34B40 34L40 35J05 47B36 47E05 47F05 PDFBibTeX XMLCite \textit{V. Derkach} et al., Math. Nachr. 295, No. 6, 1113--1162 (2022; Zbl 07747288) Full Text: DOI OA License
Derkach, Volodymyr; Hassi, Seppo; Malamud, Mark Generalized boundary triples. I: Some classes of isometric and unitary boundary pairs and realization problems for subclasses of Nevanlinna functions. (English) Zbl 1514.47006 Math. Nachr. 293, No. 7, 1278-1327 (2020). MSC: 47A10 47B25 47A20 47A48 47A56 47B32 PDFBibTeX XMLCite \textit{V. Derkach} et al., Math. Nachr. 293, No. 7, 1278--1327 (2020; Zbl 1514.47006) Full Text: DOI
Derkach, Vladimir; Hassi, Seppo; Malamud, Mark Generalized boundary triples, Weyl functions and inverse problems. arXiv:1706.07948 Preprint, arXiv:1706.07948 [math.FA] (2017). MSC: 34B08 35J25 47A05 47A10 47A20 47B15 47B25 34B40 34L40 35J05 35J10 46C20 47A48 47A57 47B36 BibTeX Cite \textit{V. Derkach} et al., ``Generalized boundary triples, Weyl functions and inverse problems'', Preprint, arXiv:1706.07948 [math.FA] (2017) Full Text: arXiv OA License
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)
Malamud, Mark; Neidhardt, Hagen Sturm-Liouville boundary value problems with operator potentials and unitary equivalence. (English) Zbl 1257.47053 J. Differ. Equations 252, No. 11, 5875-5922 (2012). Reviewer: Andreas Fleige (Dortmund) MSC: 47E05 47B25 47A20 34G10 47F05 34B05 PDFBibTeX XMLCite \textit{M. Malamud} and \textit{H. Neidhardt}, J. Differ. Equations 252, No. 11, 5875--5922 (2012; Zbl 1257.47053) Full Text: DOI arXiv
Malamud, Mark M.; Neidhardt, Hagen Perturbation determinants and trace formulas for singular perturbations. arXiv:1212.6887 Preprint, arXiv:1212.6887 [math-ph] (2012). MSC: 47A20 47B25 34B20 34B24 BibTeX Cite \textit{M. M. Malamud} and \textit{H. Neidhardt}, ``Perturbation determinants and trace formulas for singular perturbations'', Preprint, arXiv:1212.6887 [math-ph] (2012) Full Text: arXiv OA License
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
Malamud, Mark Operator holes and extensions of sectorial operators and dual pairs of contractions. (English) Zbl 1111.47017 Math. Nachr. 279, No. 5-6, 625-655 (2006). Reviewer: Woo Young Lee (Seoul) MSC: 47A57 47B25 47A55 47B65 47A45 47A20 PDFBibTeX XMLCite \textit{M. Malamud}, Math. Nachr. 279, No. 5--6, 625--655 (2006; Zbl 1111.47017) Full Text: DOI arXiv
Malamud, M. M.; Mogilevskii, V. I. Resolvent matrices and characteristic functions of extensions of isometric operators. (English. Russian original) Zbl 1127.47306 Dokl. Math. 72, No. 3, 917-924 (2005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 405, No. 4, 454-461 (2005). MSC: 47B15 47A20 47A10 PDFBibTeX XMLCite \textit{M. M. Malamud} and \textit{V. I. Mogilevskii}, Dokl. Math. 72, No. 3, 917--924 (2005; Zbl 1127.47306); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 405, No. 4, 454--461 (2005)
Derkach, Vladimir; Hassi, Seppo; Malamud, Mark; de Snoo, Henk Boundary relations and orthogonal coupling of symmetric operators. (English) Zbl 1110.47007 Proceedings of the algorithmic information theory conference, Vaasa, Finland, May 16–18, 2005. Vaasa: Vaasan Yliopisto (ISBN 952-476-124-6/pbk). Vaasan Yliopiston Julkaisuja. Selvityksiä ja Raportteja 124, 41-56 (2005). Reviewer: Florian-Horia Vasilescu (Villeneuve d’Ascq) MSC: 47A20 47A06 47A56 47B15 47B25 47B44 PDFBibTeX XMLCite \textit{V. Derkach} et al., in: Proceedings of the algorithmic information theory conference, Vaasa, Finland, May 16--18, 2005. Vaasa: Vaasan Yliopisto. 41--56 (2005; Zbl 1110.47007)
Malamud, M. M.; Mogilevskiĭ, V. I. Resolvent matrices and spectral functions of an isometric operator. (English. Russian original) Zbl 1127.47305 Dokl. Math. 69, No. 2, 158-163 (2004); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 395, No. 1, 11-17 (2004). MSC: 47B15 47A10 47A20 PDFBibTeX XMLCite \textit{M. M. Malamud} and \textit{V. I. Mogilevskiĭ}, Dokl. Math. 69, No. 2, 158--163 (2004; Zbl 1127.47305); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 395, No. 1, 11--17 (2004)
Malamud, M. M.; Mogilevsky, V. I. Krein type formula for canonical resolvents of dual pairs of linear relations. (English) Zbl 1074.47501 Methods Funct. Anal. Topol. 8, No. 4, 72-100 (2002). Reviewer: A. N. Kochubei (Kyïv) MSC: 47A20 47A57 47A48 47E05 PDFBibTeX XMLCite \textit{M. M. Malamud} and \textit{V. I. Mogilevsky}, Methods Funct. Anal. Topol. 8, No. 4, 72--100 (2002; Zbl 1074.47501)
Derkach, V. A.; Hassi, S.; Malamud, M. M.; de Snoo, H. Weyl functions and intermediate extensions of symmetric operators. (English) Zbl 0998.47014 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2001, No. 10, 33-39 (2001). MSC: 47B25 47A20 47A57 PDFBibTeX XMLCite \textit{V. A. Derkach} et al., Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2001, No. 10, 33--39 (2001; Zbl 0998.47014)
Malamud, M. M. On some classes of extensions of sectorial operators and dual pairs of contractions. (English) Zbl 0985.47005 Dijksma, A. (ed.) et al., Recent advances in operator theory. The Israel Gohberg anniversary volume. Proceedings of the international workshop on operator theory and its applications, IWOTA-98, Groningen, Netherlands, June 30-July 3, 1998. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 124, 401-449 (2001). MSC: 47A20 PDFBibTeX XMLCite \textit{M. M. Malamud}, in: Recent advances in operator theory. The Israel Gohberg anniversary volume. Proceedings of the international workshop on operator theory and its applications, IWOTA-98, Groningen, Netherlands, June 30--July 3, 1998. Basel: Birkhäuser. 401--449 (2001; Zbl 0985.47005)
Derkach, V. A.; Hassi, S.; Malamud, M. M.; de Snoo, H. S. V. Generalized resolvents of symmetric operators and admissibility. (English) Zbl 0973.47020 Methods Funct. Anal. Topol. 6, No. 3, 24-55 (2000). Reviewer: A.N.Kochubei (Kyïv) MSC: 47B25 47B15 47A57 47A20 PDFBibTeX XMLCite \textit{V. A. Derkach} et al., Methods Funct. Anal. Topol. 6, No. 3, 24--55 (2000; Zbl 0973.47020)
Brasche, J. F.; Malamud, M. M.; Neidhardt, H. Weyl functions and singular continuous spectra of self-adjoint extensions. (English) Zbl 0988.47003 Gesztesy, Fritz (ed.) et al., Stochastic processes, physics and geometry: New interplays. II. A volume in honor of Sergio Albeverio. Proceedings of the conference on infinite dimensional (stochastic) analysis and quantum physics, Leipzig, Germany, January 18-22, 1999. Providence, RI: American Mathematical Society (AMS). CMS Conf. Proc. 29, 75-84 (2000). Reviewer: Mahmoud Kutkut (Amman) MSC: 47A10 47A20 47A60 47B25 PDFBibTeX XMLCite \textit{J. F. Brasche} et al., CMS Conf. Proc. 29, 75--84 (2000; Zbl 0988.47003)
Derkach, V. A.; Malamud, M. M. Non-self-adjoint extensions of a Hermitian operator and their characteristic functions. (English) Zbl 0971.47003 J. Math. Sci., New York 97, No. 5, 4461-4499 (1999). Reviewer: Vladimir V.Peller (Manhattan) MSC: 47A20 PDFBibTeX XMLCite \textit{V. A. Derkach} and \textit{M. M. Malamud}, J. Math. Sci., New York 97, No. 5, 4461--4499 (1999; Zbl 0971.47003) Full Text: DOI
Malamud, M. M.; Mogilevskij, V. I. On extensions of dual pairs of operators. (English) Zbl 0887.47008 Dopov. Akad. Nauk Ukr. 1997, No. 1, 30-37 (1997). Reviewer: A.N.Kochubei (Kyïv) MSC: 47A20 47B15 PDFBibTeX XMLCite \textit{M. M. Malamud} and \textit{V. I. Mogilevskij}, Dopov. Akad. Nauk Ukr. 1997, No. 1, 30--37 (1997; Zbl 0887.47008)
Derkach, V. A.; Malamud, M. M. The extension theory of Hermitian operators and the moment problem. (English) Zbl 0848.47004 J. Math. Sci., New York 73, No. 2, 141-242 (1995). Reviewer: Wu Jingbo (Tianjin) MSC: 47A20 47A57 47A56 47B25 PDFBibTeX XMLCite \textit{V. A. Derkach} and \textit{M. M. Malamud}, J. Math. Sci., New York 73, No. 2, 141--242 (1995; Zbl 0848.47004) Full Text: DOI
Derkach, V. A.; Malamud, M. M. Characteristic functions of almost solvable extensions of Hermitian operators. (English. Russian original) Zbl 0804.47009 Ukr. Math. J. 44, No. 4, 379-401 (1992); translation from Ukr. Mat. Zh. 44, No. 4, 435-459 (1992). MSC: 47A20 47B15 47A45 PDFBibTeX XMLCite \textit{V. A. Derkach} and \textit{M. M. Malamud}, Ukr. Math. J. 44, No. 4, 379--401 (1992; Zbl 0804.47009); translation from Ukr. Mat. Zh. 44, No. 4, 435--459 (1992) Full Text: DOI
Malamud, M. M. Certain classes of extensions of a lacunary Hermitian operator. (English. Russian original) Zbl 0804.47011 Ukr. Math. J. 44, No. 2, 190-204 (1992); translation from Ukr. Mat. Zh. 44, No. 2, 215-233 (1992). MSC: 47A20 47B15 47A10 PDFBibTeX XMLCite \textit{M. M. Malamud}, Ukr. Math. J. 44, No. 2, 190--204 (1992; Zbl 0804.47011); translation from Ukr. Mat. Zh. 44, No. 2, 215--233 (1992) Full Text: DOI
Derkach, V. A.; Malamud, M. M. Characteristic functions of linear operators. (English. Russian original) Zbl 0820.47007 Russ. Acad. Sci., Dokl., Math. 45, No. 2, 417-424 (1992); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 323, No. 5, 816-822 (1992). Reviewer: M.Shahin (Dallas) MSC: 47A50 47A20 PDFBibTeX XMLCite \textit{V. A. Derkach} and \textit{M. M. Malamud}, Russ. Acad. Sci., Dokl., Math. 45, No. 2, 1 (1992; Zbl 0820.47007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 323, No. 5, 816--822 (1992)
Derkach, V. A.; Malamud, M. M. Generalized resolvents and the boundary value problems for Hermitian operators with gaps. (English) Zbl 0748.47004 J. Funct. Anal. 95, No. 1, 1-95 (1991). Reviewer: H.Neidhardt MSC: 47A20 47A10 47A57 PDFBibTeX XMLCite \textit{V. A. Derkach} and \textit{M. M. Malamud}, J. Funct. Anal. 95, No. 1, 1--95 (1991; Zbl 0748.47004) Full Text: DOI
Malamud, M. M. On an approach to the theory of extensions of a non-densely given Hermitian operator. (Russian. English summary) Zbl 0721.47010 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 3, 20-25 (1990). Reviewer: L.A.Sakhnovich (Odessa) MSC: 47A20 47B25 PDFBibTeX XMLCite \textit{M. M. Malamud}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 3, 20--25 (1990; Zbl 0721.47010)
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)
Malamud, M. M. Boundary value problems for Hermitian operators with gaps. (English. Russian original) Zbl 0758.47008 Sov. Math., Dokl. 42, No. 1, 190-196 (1991); translation from Dokl. Akad. Nauk SSSR 313, No. 6, 1335-1340 (1990). Reviewer: T.Regińska (Warszawa) MSC: 47A20 47B15 47A10 PDFBibTeX XMLCite \textit{M. M. Malamud}, Sov. Math., Dokl. 42, No. 1, 190--196 (1990; Zbl 0758.47008); translation from Dokl. Akad. Nauk SSSR 313, No. 6, 1335--1340 (1990)
Malamud, Mark Boundary problems for Hermitian operators with spectral gaps. (English) Zbl 0729.47004 Schrödinger operators, standard and non-standard, Proc. Conf., Dubna/USSR 1988, 391-392 (1989). MSC: 47A20 47A10 PDFBibTeX XML
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)
Malamud, M. M. On extensions of Hermitian sectorial operators and dual pairs of contractions. (English. Russian original) Zbl 0704.47005 Sov. Math., Dokl. 39, No. 2, 253-259 (1989); translation from Dokl. Akad. Nauk SSSR 305, No. 1, 35-41 (1989). Reviewer: Wu Jingbo MSC: 47A20 47B15 47B10 PDFBibTeX XMLCite \textit{M. M. Malamud}, Sov. Math., Dokl. 39, No. 2, 253--259 (1989; Zbl 0704.47005); translation from Dokl. Akad. Nauk SSSR 305, No. 1, 35--41 (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.; Tsekanovskij, Eh. R. Sectorial extensions of a positive operator, and the characteristic function. (English. Russian original) Zbl 0698.47004 Sov. Math., Dokl. 37, No. 1, 106-110 (1988); translation from Dokl. Akad. Nauk SSSR 298, No. 3, 537-541 (1988). Reviewer: Wu Jingbo MSC: 47A20 47B25 34L99 PDFBibTeX XMLCite \textit{V. A. Derkach} et al., Sov. Math., Dokl. 37, No. 1, 106--110 (1988; Zbl 0698.47004); translation from Dokl. Akad. Nauk SSSR 298, No. 3, 537--541 (1988)
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)