Ćurgus, Branko; Dijksma, Aad Operators without eigenvalues in finite-dimensional vector spaces: essential uniqueness of the model. (English) Zbl 07761752 Linear Algebra Appl. 679, 86-98 (2023). MSC: 47A45 15A03 46C20 46E22 47A06 PDFBibTeX XMLCite \textit{B. Ćurgus} and \textit{A. Dijksma}, Linear Algebra Appl. 679, 86--98 (2023; Zbl 07761752) Full Text: DOI
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
Ćurgus, Branko; Dijksma, Aad Operators without eigenvalues in finite-dimensional vector spaces. (English) Zbl 1518.47021 Linear Algebra Appl. 605, 63-117 (2020). MSC: 47A45 15A03 46C20 46E22 47A06 PDFBibTeX XMLCite \textit{B. Ćurgus} and \textit{A. Dijksma}, Linear Algebra Appl. 605, 63--117 (2020; Zbl 1518.47021) 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
Ćurgus, B.; Dijksma, A. On the reproducing kernel of a Pontryagin space of vector valued polynomials. (English) Zbl 1246.46018 Linear Algebra Appl. 436, No. 5, 1312-1343 (2012). Reviewer: Carsten Trunk (Ilmenau) MSC: 46C20 46E22 47A06 PDFBibTeX XMLCite \textit{B. Ćurgus} and \textit{A. Dijksma}, Linear Algebra Appl. 436, No. 5, 1312--1343 (2012; Zbl 1246.46018) Full Text: DOI arXiv
Dijksma, Aad; Luger, Annemarie; Shondin, Yuri Approximation of \({\mathcal N}^\infty_\kappa\)-functions. II: Convergence of models. (English) Zbl 1192.47036 Behrndt, Jussi (ed.) et al., Recent advances in operator theory in Hilbert and Krein spaces. Papers of the 7th workshop on operator theory in Krein spaces and spectral analysis, TU Berlin, Germany, December 13–16, 2007. Dedicated to Peter Jonas. Basel: Birkhäuser (ISBN 978-3-0346-0179-5/hbk; 978-3-0346-0180-1/ebook). Operator Theory: Advances and Applications 198, 125-169 (2010). MSC: 47B50 47B25 47B32 47A06 PDFBibTeX XMLCite \textit{A. Dijksma} et al., Oper. Theory: Adv. Appl. 198, 125--169 (2010; Zbl 1192.47036)
Dijksma, Aad; Luger, Annemarie; Shondin, Yuri Approximation of \(\mathcal N _{\kappa }^{\infty }\)-functions. I: Models and regularization. (English) Zbl 1182.47037 Behrndt, Jussi (ed.) et al., Spectral theory in inner product spaces and applications. Papers of the 6th workshop on operator theory in Krein spaces and operator polynomials, TU Berlin, Germany, December 14–17, 2006. Basel: Birkhäuser (ISBN 978-3-7643-8910-9/hbk). Operator Theory: Advances and Applications 188, 87-112 (2009). Reviewer: Carsten Trunk (Ilmenau) MSC: 47B50 47B25 47B32 47A06 PDFBibTeX XMLCite \textit{A. Dijksma} et al., Oper. Theory: Adv. Appl. 188, 87--112 (2009; Zbl 1182.47037) Full Text: DOI
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)
Alpay, Daniel; Dijksma, Aad; Langer, Heinz; Shondin, Yuri The Schur transformation for generalized Nevanlinna functions: interpolation and self-adjoint operator realizations. (English) Zbl 1128.47016 Complex Anal. Oper. Theory 1, No. 2, 169-210 (2007). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 47A48 47B50 47B25 47A06 30E05 46E22 PDFBibTeX XMLCite \textit{D. Alpay} et al., Complex Anal. Oper. Theory 1, No. 2, 169--210 (2007; Zbl 1128.47016) Full Text: DOI Link
Dijksma, Aad; Luger, Annemarie; Shondin, Yuri Minimal models for \({\mathcal N}_\kappa^\infty\)-functions. (English) Zbl 1111.47026 Langer, Matthias (ed.) et al., Operator theory and indefinite inner product spaces. Presented on the occasion of the retirement of Heinz Langer in the colloquium on operator theory, Vienna, March 2004. Basel: Birkhäuser (ISBN 3-7643-7515-9/hbk). Operator Theory: Advances and Applications 163, 97-134 (2006). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 47B25 47B50 47B32 47A06 47A48 46C20 PDFBibTeX XMLCite \textit{A. Dijksma} et al., Oper. Theory: Adv. Appl. 163, 97--134 (2006; Zbl 1111.47026)
Dijksma, Aad; Langer, Heinz; Shondin, Yuri Rank one perturbations at infinite coupling in Pontryagin spaces. (English) Zbl 1068.47041 J. Funct. Anal. 209, No. 1, 206-246 (2004). Reviewer: Trandafir Balan (Craiova) MSC: 47B50 47B25 47A06 34L99 33C10 PDFBibTeX XMLCite \textit{A. Dijksma} et al., J. Funct. Anal. 209, No. 1, 206--246 (2004; Zbl 1068.47041) Full Text: DOI Link
Azizov, Tomas; Ćurgus, Branko; Dijksma, Aad Standard symmetric operators in Pontryagin spaces: A generalized von Neumann formula and minimality of boundary coefficients. (English) Zbl 1028.47027 J. Funct. Anal. 198, No. 2, 361-412 (2003). Reviewer: Trandafir Balan (Craiova) MSC: 47B50 34B07 47B25 47B32 46C20 47A06 PDFBibTeX XMLCite \textit{T. Azizov} et al., J. Funct. Anal. 198, No. 2, 361--412 (2003; Zbl 1028.47027) Full Text: DOI
Ćurgus, Branko; Dijksma, Aad; Read, Tom The linearization of boundary eigenvalue problems and reproducing kernel Hilbert spaces. (English) Zbl 0996.47025 Linear Algebra Appl. 329, No. 1-3, 97-136 (2001). Reviewer: Th.M.Rassias (Athens) MSC: 47A75 46E22 47A06 PDFBibTeX XMLCite \textit{B. Ćurgus} et al., Linear Algebra Appl. 329, No. 1--3, 97--136 (2001; Zbl 0996.47025) Full Text: DOI
Alpay, Daniel; Dijksma, Aad; Rovnyak, James; de Snoo, Henk Schur functions, operator colligations, and reproducing kernel Pontryagin spaces. (Fonctions de Schur, colligations d’opérateurs, et espaces de Pontryagin à noyau reproduisant.) (French. Abridged English version) Zbl 0951.47010 C. R. Acad. Sci., Paris, Sér. I 322, No. 1, 15-20 (1996). MSC: 47A48 46E22 47A06 47B50 47A56 46C20 PDFBibTeX XMLCite \textit{D. Alpay} et al., C. R. Acad. Sci., Paris, Sér. I 322, No. 1, 15--20 (1996; Zbl 0951.47010)