Found 49 Documents (Results 1–49)
Characterizations of Herglotz-Nevanlinna functions using positive semi-definite functions and the Nevanlinna kernel in several variables. (English) Zbl 1478.32017
MSC:
32A35
Functional models for entire symmetric operators in rigged de Branges Pontryagin spaces. (English) Zbl 1509.47054
Reviewer: Anatoly N. Kochubei (Kyïv)
Rigged de Branges-Pontryagin spaces and their application to extensions and embedding. (English) Zbl 1423.46038
The factorization of generalized Nevanlinna functions and the invariant subspace property. (English) Zbl 06991904
A truncated indefinite Stieltjes moment problem. (English. Ukrainian original) Zbl 1370.47013
J. Math. Sci., New York 224, No. 4, 509-529 (2017); translation from Ukr. Mat. Visn. 13, No. 4, 473-498 (2016).
Generalized \(\gamma\)-generating matrices. (English. Russian original) Zbl 1353.15011
J. Math. Sci., New York 218, No. 1, 89-104 (2016); translation from Ukr. Mat. Visn. 12, No. 4, 539-558 (2015).
Reviewer: Andreas Arvanitoyeorgos (Patras)
Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces. (English) Zbl 1341.47045
Reproducing kernel Kreĭn spaces. (English) Zbl 1347.46020
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, 311-343 (2015).
Entries of indefinite Nevanlinna matrices. (English) Zbl 1329.46025
St. Petersbg. Math. J. 26, No. 5, 757-783 (2015); translation from Algebra Anal. 26, No. 5, 88-124 (2014).
Distributional representations of \(\mathcal{N}_{\kappa}^{(\infty)}\)-functions. (English) Zbl 1331.30027
Reviewer: Carsten Trunk (Ilmenau)
Realizations of slice hyperholomorphic generalized contractive and positive functions. (English) Zbl 1335.47012
Reviewer: Ilie Valuşescu (Bucureşti)
Some propositions on generalized Nevanlinna functions of the class \(\mathcal N_k\). (English) Zbl 1305.30027
Reviewer: Ilie Valuşescu (Bucureşti)
Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions. (English) Zbl 1281.30034
Reviewer: Juan Bory Reyes (Santiago de Cuba)
On the negative squares of a class of self-adjoint extensions in Krein spaces. (English) Zbl 1275.47084
Reviewer: Andreas Fleige (Dortmund)
On the reproducing kernel of a Pontryagin space of vector valued polynomials. (English) Zbl 1246.46018
Reviewer: Carsten Trunk (Ilmenau)
Darboux transformations of Jacobi matrices and Padé approximation. (English) Zbl 1227.47018
Reviewer: Marcel G. de Bruin (Haarlem)
Zeros of nonpositive type of generalized Nevanlinna functions with one negative square. (English) Zbl 1257.30020
Bitangential interpolation in generalized Schur classes. (English) Zbl 1218.30088
Reviewer: Gabriel Larotonda (Buenos Aires)
Elliptic boundary value problems with \(\lambda \)-dependent boundary conditions. (English) Zbl 1203.35086
Sturm-Liouville operators with singularities and generalized Nevanlinna functions. (English) Zbl 1214.34022
Reviewer: Pavel Rehak (Brno)
Realization of nonstrict matrix Nevanlinna functions as Weyl functions of symmetric operators in Pontryagin spaces. (English) Zbl 1166.47035
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)
Titchmarsh-Weyl \(m\) -functions for second-order Sturm-Liouville problems with two singular endpoints. (English) Zbl 1165.34011
Reviewer: Jussi Behrndt (Berlin)
On locally definitizable matrix functions. (English) Zbl 1156.47036
Funct. Anal. Appl. 41, No. 3, 169-180 (2007); translation from Funkts. Anal. Prilozh. 41, No. 3, 1-16 (2007).
On the convergence of Padé approximations for generalized Nevanlinna functions. (English. Russian original) Zbl 1161.30025
Trans. Mosc. Math. Soc. 2007, 119-162 (2007); translation from Tr. Mosk. Mat. O.-va 68, 133-182 (2007).
On invertible contractions of quotients generated by a differential expression and by a nonnegative operator function. (English. Russian original) Zbl 1176.47005
Math. Notes 82, No. 5, 583-595 (2007); erratum Math. Notes 84, No. 3, 449-450 (2007); translation from Mat. Zametki 82, No. 5, 652-664 (2007).
Reviewer: J. Banaś (Rzeszów)
On the negative squares of indefinite Sturm–Liouville operators. (English) Zbl 1123.47033
Reviewer: Vjacheslav Yurko (Saratov)
Sturm–Liouville operators with indefinite weight functions and eigenvalue depending boundary conditions. (English) Zbl 1099.34018
Reviewer: Pavel Rehak (Brno)
Rank one perturbations at infinite coupling in Pontryagin spaces. (English) Zbl 1068.47041
Reviewer: Trandafir Balan (Craiova)
Rank one perturbations in a Pontryagin space with one negative square. (English) Zbl 1028.47026
Reviewer: Trandafir Balan (Craiova)
On the Loewner problem in the class \(\mathbf{N}_{\kappa}\). (English) Zbl 0987.30014
Reviewer: Adhemar Bultheel (Leuven)
Singular point-like perturbations of the Bessel operator in a Pontryagin space. (English) Zbl 0960.47021
Reviewer: Trandafir Balan (Craiova)
Singular point perturbation of an odd operator in \(\mathbb{Z}_2\)-graded space. (English. Russian original) Zbl 0971.47007
Math. Notes 66, No. 6, 764-776 (1999); translation from Mat. Zametki 66, No. 6, 924-940 (1999).
Perturbations of elliptic operators on high codimension subsets and the extension theory on indefinite metric space. (English. Russian original) Zbl 0925.35019
J. Math. Sci., New York 87, No. 5, 3941-3970 (1997); translation from Zap. Nauchn. Semin. POMI 222, 246-292 (1995).
Definitizing polynomials of unitary and Hermitian operators in Pontrjagin spaces. (English) Zbl 0694.47018
Reviewer: H.Langer
MSC:
47B50
Sequences with finitely many negative squares. (English) Zbl 0656.47021
Reviewer: K.Chandrasekhara Rao
A survey of the eigenstructure properties of finite Hermitian Toeplitz matrices. (English) Zbl 0658.47029
Reviewer: Yu.Latushkin
MSC:
47B35
On the index theory of pseudo-Carathéodory functions. Application to the linear system stability theorem. (English) Zbl 0643.30028
Reviewer: J.A.Ball
Some interlacing results for indefinite Hermitian matrices. (English) Zbl 0577.15006
Reviewer: Robert C. Thompson (Santa Barbara)
A model for \(\pi\)-selfadjoint operators in \(\pi _ 1\)-spaces and a special linear pencil. (English) Zbl 0556.47021
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