Faupin, Jérémy; Frantz, Nicolas Spectral decomposition of some non-self-adjoint operators. (Décomposition spectrale D’Opérateurs non auto-adjoints.) (English. French summary) Zbl 07814464 Ann. Henri Lebesgue 6, 1115-1167 (2023). MSC: 47A10 47A60 47A65 47B28 81Q12 81U24 PDFBibTeX XMLCite \textit{J. Faupin} and \textit{N. Frantz}, Ann. Henri Lebesgue 6, 1115--1167 (2023; Zbl 07814464) Full Text: DOI arXiv
Cherednichenko, Kirill D.; Kiselev, Alexander V.; Silva, Luis O. Functional model for boundary-value problems. (English) Zbl 07738333 Mathematika 67, No. 3, 596-626 (2021). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 47F05 47A45 47N20 PDFBibTeX XMLCite \textit{K. D. Cherednichenko} et al., Mathematika 67, No. 3, 596--626 (2021; Zbl 07738333) Full Text: DOI arXiv OA License
Cherednichenko, Kirill D.; Kiselev, Alexander V.; Silva, Luis O. Scattering theory for a class of non-selfadjoint extensions of symmetric operators. (English) Zbl 1518.47020 Kurasov, Pavel (ed.) et al., Analysis as a tool in mathematical physics. In memory of Boris Pavlov. Collected papers presented at the conferences “Spectral Theory and Applications”, Stockholm, Sweden, March 13–15, 2016 and “Operator Theory, Analysis and Mathematical Physics – OTAMP2016”, Euler International Mathematical Institute, St. Petersburg, Russia, August 2–7, 2016. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 276, 194-230 (2020). Reviewer: Jiři Lipovský (Hradec Králové) MSC: 47A45 47A40 34L25 81Q35 PDFBibTeX XMLCite \textit{K. D. Cherednichenko} et al., Oper. Theory: Adv. Appl. 276, 194--230 (2020; Zbl 1518.47020) Full Text: DOI arXiv
Rios-Cangas, Josué I.; Silva, Luis O. Dissipative extension theory for linear relations. (English) Zbl 1443.47002 Expo. Math. 38, No. 1, 60-90 (2020). MSC: 47A06 47A45 47B44 47A20 PDFBibTeX XMLCite \textit{J. I. Rios-Cangas} and \textit{L. O. Silva}, Expo. Math. 38, No. 1, 60--90 (2020; Zbl 1443.47002) Full Text: DOI arXiv
Cherednichenko, Kirill D.; Kiselev, Alexander V.; Silva, Luis O. Functional model for extensions of symmetric operators and applications to scattering theory. (English) Zbl 07006654 Netw. Heterog. Media 13, No. 2, 191-215 (2018). MSC: 47A45 34L25 81Q35 PDFBibTeX XMLCite \textit{K. D. Cherednichenko} et al., Netw. Heterog. Media 13, No. 2, 191--215 (2018; Zbl 07006654) Full Text: DOI arXiv
Silva, Luis O.; Toloza, Julio H. De Branges spaces and Kreĭn’s theory of entire operators. (English) Zbl 1339.47027 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, 549-580 (2015). Reviewer: Roman V. Romanov (St. Petersburg) MSC: 47B25 47B32 47A20 47A45 47A57 47-02 PDFBibTeX XMLCite \textit{L. O. Silva} and \textit{J. H. Toloza}, in: Operator theory. With 51 figures and 2 tables. In 2 volumes. Basel: Springer. 549--580 (2015; Zbl 1339.47027) Full Text: DOI arXiv
Kiselev, Alexander V.; Naboko, Serguei Nonself-adjoint operators with almost Hermitian spectrum: Cayley identity and some questions of spectral structure. (English) Zbl 1187.47013 Ark. Mat. 47, No. 1, 91-125 (2009). Reviewer: Bebe Prunaru (Bucureşti) MSC: 47A45 47A55 47A10 PDFBibTeX XMLCite \textit{A. V. Kiselev} and \textit{S. Naboko}, Ark. Mat. 47, No. 1, 91--125 (2009; Zbl 1187.47013) Full Text: DOI
Kiselev, Alexander V.; Naboko, Serguei N. Nonself-adjoint operators with almost Hermitian spectrum: matrix model. I. (English) Zbl 1156.47301 J. Comput. Appl. Math. 194, No. 1, 115-130 (2006). MSC: 47A45 47A10 47A55 PDFBibTeX XMLCite \textit{A. V. Kiselev} and \textit{S. N. Naboko}, J. Comput. Appl. Math. 194, No. 1, 115--130 (2006; Zbl 1156.47301) Full Text: DOI
Ryzhov, V. A. Absolutely continuous and singular subspaces of a nonselfadjoint operator. (English. Russian original) Zbl 0909.47004 J. Math. Sci., New York 87, No. 5, 3886-3911 (1997); translation from Zap. Nauchn. Semin. POMI 222, 163-202 (1995). MSC: 47A45 PDFBibTeX XMLCite \textit{V. A. Ryzhov}, J. Math. Sci., New York 87, No. 5, 3886--3911 (1995; Zbl 0909.47004); translation from Zap. Nauchn. Semin. POMI 222, 163--202 (1995) Full Text: DOI
Ryzhov, V. A. Equipped absolutely continuous subspaces and stationary construction of wave operators in the non-selfadjoint scattering theory. (English. Russian original) Zbl 0907.47004 J. Math. Sci., New York 85, No. 2, 1849-1866 (1997); translation from Zap. Nauchn. Semin. POMI 217, 144-171 (1994). MSC: 47A40 81U10 PDFBibTeX XMLCite \textit{V. A. Ryzhov}, J. Math. Sci., New York 85, No. 1, 144--171 (1994; Zbl 0907.47004); translation from Zap. Nauchn. Semin. POMI 217, 144--171 (1994) Full Text: DOI EuDML
Naboko, S. N. Structure of the singularities of operator functions with a positive imaginary part. (English. Russian original) Zbl 0764.47003 Funct. Anal. Appl. 25, No. 4, 243-253 (1991); translation from Funkts. Anal. Prilozh. 25, No. 4, 1-13 (1991). Reviewer: Yu.V.Egorov (Toulouse) MSC: 47A10 47A40 47B25 PDFBibTeX XMLCite \textit{S. N. Naboko}, Funct. Anal. Appl. 25, No. 4, 243--253 (1991; Zbl 0764.47003); translation from Funkts. Anal. Prilozh. 25, No. 4, 1--13 (1991) Full Text: DOI
Naboko, S. N. Absolutely continuous spectrum of a nondissipative operator and a functional model. II. (English) Zbl 0596.47016 J. Sov. Math. 34, 2090-2101 (1986). MSC: 47A65 47A10 PDFBibTeX XMLCite \textit{S. N. Naboko}, J. Sov. Math. 34, 2090--2101 (1986; Zbl 0596.47016) Full Text: DOI
Naboko, S. N. Singular spectrum of a non-self-adjoint operator. (English) Zbl 0515.47002 J. Sov. Math. 22, 1793-1813 (1983). MSC: 47A10 47A45 35J10 PDFBibTeX XMLCite \textit{S. N. Naboko}, J. Sov. Math. 22, 1793--1813 (1983; Zbl 0515.47002) Full Text: DOI
Naboko, S. N. Wave operators for non-self-adjoint operators and the functional model. (English) Zbl 0408.47010 J. Sov. Math. 8, 89-94 (1978). MSC: 47A45 47B44 47A40 PDFBibTeX XMLCite \textit{S. N. Naboko}, J. Sov. Math. 8, 89--94 (1978; Zbl 0408.47010) Full Text: DOI