Dijksma, Aad; Langer, Heinz Self-adjoint extensions of a symmetric linear relation with finite defect: compressions and Straus subspaces. (English) Zbl 1520.47005 Alpay, Daniel (ed.) et al., Complex function theory, operator theory, Schur analysis and systems theory. A volume in honor of V. E. Katsnelson. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 280, 287-325 (2020). Reviewer: Valerii V. Obukhovskij (Voronezh) MSC: 47A06 47A20 47A56 47B25 PDFBibTeX XMLCite \textit{A. Dijksma} and \textit{H. Langer}, Oper. Theory: Adv. Appl. 280, 287--325 (2020; Zbl 1520.47005) Full Text: DOI
Dijksma, Aad; Langer, Heinz W. Stenger’s and M. A. Nudelman’s results and resolvent formulas involving compressions. (English) Zbl 1481.47035 Adv. Oper. Theory 5, No. 3, 936-949 (2020). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 47B25 47A20 47A56 PDFBibTeX XMLCite \textit{A. Dijksma} and \textit{H. Langer}, Adv. Oper. Theory 5, No. 3, 936--949 (2020; Zbl 1481.47035) Full Text: DOI
Dijksma, Aad; Langer, Heinz Compressions of self-adjoint extensions of a symmetric operator and M.G. Krein’s resolvent formula. (English) Zbl 06946537 Integral Equations Oper. Theory 90, No. 4, Paper No. 41, 30 p. (2018). MSC: 47B25 47A20 47A56 PDFBibTeX XMLCite \textit{A. Dijksma} and \textit{H. Langer}, Integral Equations Oper. Theory 90, No. 4, Paper No. 41, 30 p. (2018; Zbl 06946537) Full Text: DOI
Dijksma, Aad; Langer, Heinz Finite-dimensional self-adjoint extensions of a symmetric operator with finite defect and their compressions. (English) Zbl 06864062 Colombo, Fabrizio (ed.) et al., Advances in complex analysis and operator theory. Festschrift in honor of Daniel Alpay’s 60th birthday. Contributions partly based on the presentations at the international conference on complex analysis and operator theory, Chapman University, Orange, CA, USA, November 2016. Cham: Birkhäuser/Springer. Trends Math., 135-163 (2017). MSC: 47-XX 47B25 47A20 47A56 PDFBibTeX XMLCite \textit{A. Dijksma} and \textit{H. Langer}, in: Advances in complex analysis and operator theory. Festschrift in honor of Daniel Alpay's 60th birthday. Contributions partly based on the presentations at the international conference on complex analysis and operator theory, Chapman University, Orange, CA, USA, November 2016. Cham: Birkhäuser/Springer. 135--163 (2017; Zbl 06864062) Full Text: DOI
Azizov, Tomas; Ćurgus, B.; Dijksma, Aad Finite-codimensional compressions of symmetric and self-adjoint linear relations in Krein spaces. (English) Zbl 1454.47045 Integral Equations Oper. Theory 86, No. 1, 71-95 (2016). Reviewer: Carsten Trunk (Ilmenau) MSC: 47B50 47A06 47A20 47B25 47B44 PDFBibTeX XMLCite \textit{T. Azizov} et al., Integral Equations Oper. Theory 86, No. 1, 71--95 (2016; Zbl 1454.47045) Full Text: DOI Link
Azizov, T. Ya.; Dijksma, A.; Wanjala, G. Compressions of maximal dissipative and self-adjoint linear relations and of dilations. (English) Zbl 1300.47009 Linear Algebra Appl. 439, No. 3, 771-792 (2013). Reviewer: Michael Perelmuter (Kyïv) MSC: 47A06 47A20 47B44 47B25 47B50 PDFBibTeX XMLCite \textit{T. Ya. Azizov} et al., Linear Algebra Appl. 439, No. 3, 771--792 (2013; Zbl 1300.47009) Full Text: DOI Link
Azizov, T. Ya.; Dijksma, A. Closedness and adjoints of products of operators, and compressions. (English) Zbl 1277.47002 Integral Equations Oper. Theory 74, No. 2, 259-269 (2012). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 47A05 47B44 47B25 47B50 47A20 PDFBibTeX XMLCite \textit{T. Ya. Azizov} and \textit{A. Dijksma}, Integral Equations Oper. Theory 74, No. 2, 259--269 (2012; Zbl 1277.47002) Full Text: DOI Link
Alpay, D.; Buursema, R. W.; Dijksma, A.; Langer, H. The combined moment and interpolation problem for Nevanlinna functions. (English) Zbl 1199.47073 Bakonyi, Mihály (ed.) et al., Operator theory, structured matrices, and dilations. Tiberiu Constantinescu memorial volume. Bucharest: Theta (ISBN 978-973-87899-0-6). Theta Series in Advanced Mathematics 7, 1-28 (2007). MSC: 47A57 47B25 47A06 47A20 PDFBibTeX XMLCite \textit{D. Alpay} et al., Theta Ser. Adv. Math. 7, 1--28 (2007; Zbl 1199.47073)
Azizov, T. Ya.; Barsukov, A. I.; Dijksma, A. Decompositions of a Krein space in regular subspaces invariant under a uniformly bounded \(C_{0}\)-semigroup of bi-contractions. (English) Zbl 1073.47043 J. Funct. Anal. 211, No. 2, 324-354 (2004). Reviewer: Trandafir Balan (Craiova) MSC: 47B50 46C20 47D60 47A20 47A15 PDFBibTeX XMLCite \textit{T. Ya. Azizov} et al., J. Funct. Anal. 211, No. 2, 324--354 (2004; Zbl 1073.47043) Full Text: DOI
Azizov, Tomas Ya.; Khatskevich, Vladimir L.; Disksma, Aad On the defect of noncontractive operators in Kreĭn spaces: A new formula and some applications. (English) Zbl 0931.47027 Dijksma, A. (ed.) et al., Contributions to operator theory in spaces with an indefinite metric. The Heinz Langer anniversary volume on the occasion of his 60th birthday. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 106, 91-112 (1998). Reviewer: Trandafir Balan (Craiova) MSC: 47B50 46C20 46N20 47F05 47A20 PDFBibTeX XMLCite \textit{T. Ya. Azizov} et al., in: Contributions to operator theory in spaces with an indefinite metric. The Heinz Langer anniversary volume on the occasion of his 60th birthday. Basel: Birkhäuser. 91--112 (1998; Zbl 0931.47027)
Azizov, T. Ya.; Dijksma, A. Contractive linear relations in Pontryagin spaces. (English) Zbl 0911.47029 Gohberg, I. (ed.) et al., Recent progress in operator theory. Vol. II. Proceedings of the international workshop on operator theory and applications, IWOTA 95, Regensburg, Germany, July 31-August 4, 1995. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 103, 19-51 (1998). MSC: 47B50 47A15 46C20 47A20 PDFBibTeX XMLCite \textit{T. Ya. Azizov} and \textit{A. Dijksma}, in: Recent progress in operator theory. Vol. II. Proceedings of the international workshop on operator theory and applications, IWOTA 95, Regensburg, Germany, July 31-August 4, 1995. Basel: Birkhäuser. 19--51 (1998; Zbl 0911.47029)
Arocena, Rodrigo; Azizov, Tomas Ya.; Dijksma, Aad; Marcantognini, Stefania A. M. On commutant lifting with finite defect. II. (English) Zbl 0889.46022 J. Funct. Anal. 144, No. 1, 105-116 (1997). Reviewer: A.Strauss (Ul’yanovsk) MSC: 46C20 47A20 47B50 47A57 PDFBibTeX XMLCite \textit{R. Arocena} et al., J. Funct. Anal. 144, No. 1, 105--116 (1997; Zbl 0889.46022) Full Text: DOI
Arocena, R.; Azizov, T. Ya.; Dijksma, A.; Marcantognini, S. A. M. On commutant lifting with finite defect. (English) Zbl 0853.46021 J. Oper. Theory 35, No. 1, 117-132 (1996). MSC: 46C20 47A15 47A20 PDFBibTeX XMLCite \textit{R. Arocena} et al., J. Oper. Theory 35, No. 1, 117--132 (1996; Zbl 0853.46021)
Dijksma, Aad; Langer, Heinz Operator theory and ordinary differential operators. (English) Zbl 0883.47018 Böttcher, Albrecht (ed.) et al., Lectures on operator theory and its applications, Fields Institute for Research in Mathematical Sciences, Toronto, Canada 1994. Providence, RI: American Mathematical Society. Fields Inst. Monogr. 3, 75-139 (1996). Reviewer: Tsuyoshi Ando (Sapporo) MSC: 47B50 47A56 47-02 34G10 47A75 34B24 47B15 46C20 47A20 47E05 PDFBibTeX XMLCite \textit{A. Dijksma} and \textit{H. Langer}, Fields Inst. Monogr. 3, 75--139 (1996; Zbl 0883.47018)
Dijksma, A.; Marcantognini, S. A. M.; de Snoo, H. S. V. A Schur type analysis of the minimal unitary Hilbert space extensions of a Kreĭn space isometry whose defect subspaces are Hilbert spaces. (English) Zbl 0807.47012 Z. Anal. Anwend. 13, No. 2, 233-260 (1994). MSC: 47A57 47A20 47B50 PDFBibTeX XMLCite \textit{A. Dijksma} et al., Z. Anal. Anwend. 13, No. 2, 233--260 (1994; Zbl 0807.47012) Full Text: DOI
Alpay, Daniel; Bruinsma, Piet; Dijksma, Aad; de Snoo, Henk Interpolation problems, extensions of symmetric operators and reproducing kernel spaces. I. (English) Zbl 0737.47016 Topics in matrix and operator theory, Proc. Workshop, Rotterdam/Neth. 1989, Oper. Theory, Adv. Appl. 50, 35-82 (1991). Reviewer: J.Durdil (Praha) MSC: 47A57 47A20 46E22 40A05 PDFBibTeX XMLCite \textit{D. Alpay} et al., in: Wiener-Hopf factorization in the inverse scattering theory for the \(n\)-D Schrödinger equation. . 35--82 (1991; Zbl 0737.47016)
Dijksma, Aad; Langer, Heinz; de Snoo, Henk Generalized coresolvents of standard isometric operators and generalized resolvents of standard symmetric relations in Krejn spaces. (English) Zbl 0734.47018 Topics in operator theory. Ernst D. Hellinger Mem. Vol., Oper. Theory, Adv. Appl. 48, 261-274 (1990). MSC: 47B50 47A48 47A10 47A56 47A20 PDFBibTeX XML
Bruinsma, Piet; Dijksma, Aad; de Snoo, Henk Unitary dilations of contractions in \(\Pi _{\kappa}\). (English) Zbl 0651.47019 Special classes of linear operators and other topics, 11. Int. Conf. Oper. Theory, Buchar./Rom. 1986, Oper. Theory, Adv. Appl. 28, 27-42 (1988). Reviewer: T.Ando MSC: 47B50 47A20 PDFBibTeX XML
Dijksma, A.; Langer, H.; de Snoo, H. S. V. Characteristic functions of unitary operator colligations in \(\Pi_{\kappa}\)-spaces. (English) Zbl 0612.47036 Operator theory and systems, Proc. Workshop, Amsterdam 1985, Oper. Theory, Adv. Appl. 19, 125-194 (1986). MSC: 47D99 47B50 46C20 47A20 47E05 34L99 47B15 PDFBibTeX XML
Dijksma, A.; de Snoo, H. S. V. Symmetric subspaces related to certain eigenvalue problems. (English) Zbl 0265.47022 Compos. Math. 26, 233-247 (1973). MSC: 47B25 47A20 47B99 34L99 47E05 PDFBibTeX XMLCite \textit{A. Dijksma} and \textit{H. S. V. de Snoo}, Compos. Math. 26, 233--247 (1973; Zbl 0265.47022) Full Text: Numdam EuDML