Found 1,029 Documents (Results 1–100)
Existence of flipped orthogonal conjugate symmetric Jordan canonical bases for real \(H\)-selfadjoint matrices. (English) Zbl 1541.15009
The pseudo-regularity of the range of orthogonal projections in Krein spaces. (English) Zbl 1543.46017
Reviewer: Carsten Trunk (Ilmenau)
Locus of non-real eigenvalues of a class of linear relations in a Krein space. arXiv:2410.16725
Preprint, arXiv:2410.16725 [math.SP] (2024).
Novel approach to root functions of matrix polynomials with applications in differential equations and meromorphic matrix functions. arXiv:2407.16568
Preprint, arXiv:2407.16568 [math.FA] (2024).
Operators without eigenvalues in finite-dimensional vector spaces: essential uniqueness of the model. (English) Zbl 1543.47029
Numerical radius inequalities for indefinite inner product space operators. (English) Zbl 07738756
Reviewer: Agnes Radl (Fulda)
On the similarity of boundary triples of symmetric operators in Krein spaces. (English) Zbl 07708075
Reviewer: Carsten Trunk (Ilmenau)
General explicit descriptions for two classes of symmetries involving idempotents. (English) Zbl 1529.47003
Commuting operators over Pontryagin spaces with applications to system theory. (English) Zbl 07667101
Reviewer: Kamran Sharifi (Shahrood)
\(K\)-frames for Krein spaces. (English) Zbl 1505.42038
Reviewer: Ashok Kumar Sah (New Delhi)
The von Neumann extension theory for abstract Friedrichs operators. arXiv:2312.09618
Preprint, arXiv:2312.09618 [math.AP] (2023).
Green’s boundary relation model in a Krein space. arXiv:2307.15954
Preprint, arXiv:2307.15954 [math.FA] (2023).
Survey on star partial order in indefinite inner product spaces. (English) Zbl 07715892
Djordjević, Dragan S. (ed.), Topics in operator theory. Beograd: Matematički Institut SANU. Zb. Rad. (Beogr.) 20(28), 327-342 (2022).
Reviewer: Mohammad Sal Moslehian (Mashhad)
The star order for idempotent operators. (English) Zbl 1522.47003
Reviewer: K. C. Sivakumar (Chennai)
A Fredholm theory on Krein spaces and its application to Weyl-type theorems and homogeneous equations. (English) Zbl 1511.47049
A note on the structure of expansive matrices in indefinite inner product spaces. (English) Zbl 07603351
Bijections on the unit ball of \(B(H)\) preserving \({}^*\)-Jordan triple product. (English) Zbl 1503.47054
Classification of classical Friedrichs differential operators: one-dimensional scalar case. (English) Zbl 1498.35170
Quasinormal modes of Schwarzschild black holes in projective invariant Chern-Simons modified gravity. (English) Zbl 1507.83049
An indefinite excursion in operator theory. Geometric and spectral treks in Kreĭn spaces. (English) Zbl 07516527
London Mathematical Society Lecture Note Series 476. Cambridge: Cambridge University Press (ISBN 978-1-108-96903-1/pbk; 978-1-108-97906-1/ebook). xvi, 494 p. (2022).
On the characterization of symmetries concerning \(J\)-contractive projections. (English) Zbl 1516.47073
Indefinite Halmos, Egervary and Sz.-Nagy Dilations. arXiv:2210.05646
Preprint, arXiv:2210.05646 [math.RA] (2022).
On proximal uniform normal structure and relatively nonexpansive mappings. arXiv:2206.14457
Preprint, arXiv:2206.14457 [math.FA] (2022).
Lipschitz stability of \(\gamma\)-FOCS and RC canonical Jordan bases of real \(H\)-selfadjoint matrices under small perturbations. arXiv:2204.04639
Preprint, arXiv:2204.04639 [math.FA] (2022).
On Parseval \(J\)-frames. (English) Zbl 1493.42047
de Snoo, H. S. V. (ed.) et al., Contributions to mathematics and statistics. Essays in honor of Seppo Hassi. Vaasa: University of Vaasa, School of Technology and Innovation. Acta Wasaensia 462, 77-86 (2021).
Reviewer: Rosario Corso (Palermo)
Complete positivity of two class of maps involving depolarizing and transpose-depolarizing channels. (English) Zbl 1486.81049
Regularization of an indefinite abstract interpolation problem with a quadratic constraint. (English) Zbl 1493.46090
Polar decompositions of quaternion matrices in indefinite inner product spaces. (English) Zbl 1482.15026
Krein space representations and Radon-Nikodým theorem for local \(\alpha \)-completely positive maps. (English) Zbl 1482.46026
Indefinite matrix inequalities via matrix means. (English) Zbl 1494.47025
Reviewer: Edward L. Pekarev (Odessa)
\(m\)th roots of \(H\)-selfadjoint matrices over the quaternions. (English) Zbl 1471.15025
Reviewer: Yansheng Wu (Nanjing)
Characterization of matrices using \(m\)-projectors and singular value decomposition in Minkowski space. (English) Zbl 1474.15030
Inequalities from Lorentz-Finsler norms. (English) Zbl 1467.26017
Reviewer: Constantin Niculescu (Craiova)
Orthogonal sums in Kreĭn spaces. (English) Zbl 1521.47063
Reviewer: Andreas Fleige (Dortmund)
Unitary boundary pairs for isometric operators in Pontryagin spaces and generalized coresolvents. (English) Zbl 1514.47014
Reviewer: Edward L. Pekarev (Odessa)
Classification of linear operators satisfying \((Au,v)=(u,a^rv)\) or \((Au,a^rv)=(u,v)\) on a vector space with indefinite scalar product. (English) Zbl 1520.47004
Uncertainty Principles in Krein Space. arXiv:2103.04372
Preprint, arXiv:2103.04372 [quant-ph] (2021).
On a functional calculus for unitary operators in Pontryagin spaces. (English) Zbl 1489.47024
Reviewer: Carsten Trunk (Ilmenau)
Parallel summable range symmetric matrices with reference to indefinite inner product. (English) Zbl 1482.46027
Reviewer: Carsten Trunk (Ilmenau)
Spectral decompositions of selfadjoint relations in Pontryagin spaces and factorizations of generalized Nevanlinna functions. (English) Zbl 1520.47007
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, 515-534 (2020).
Reviewer: Valerii V. Obukhovskij (Voronezh)
Estimates of norms on Krein spaces. (English) Zbl 1474.46050
MSC:
46C20
Full indefinite Stieltjes moment problem and Padé approximants. (English) Zbl 1463.30169
Reviewer: Anatoly N. Kochubei (Kyïv)
Symmetries for \(J\)-projection. (English) Zbl 1463.47009
Reviewer: José Bonet (Valencia)
Indefinite abstract splines with a quadratic constraint. (English) Zbl 1457.46028
J. Optim. Theory Appl. 186, No. 1, 209-225 (2020); correction ibid. 191, No. 1, 384-386 (2021).
Isometric and selfadjoint operators on a vector space with nondegenerate diagonalizable form. (English) Zbl 1437.15018
Reviewer: V. Lokesha (Bangalore)
Regularization of the indefinite Stieltjes moment problem. (English) Zbl 1439.30056
Reviewer: Mihai Putinar (Santa Barbara)
Quaternionic de Branges spaces and characteristic operator function. (English) Zbl 1475.47001
SpringerBriefs in Mathematics. Cham: Springer (ISBN 978-3-030-38311-4/pbk; 978-3-030-38312-1/ebook). x, 116 p. (2020).
Reviewer: G. Ramesh (Sangareddy)
The Bohr inequality for holomorphic mappings with lacunary series in several complex variables. (English) Zbl 1436.32002
Approximately orthogonality preserving maps in Krein spaces. (English) Zbl 1442.46018
Reviewer: Jacek Chmieliński (Kraków)
Projective \(J\)-representations associated with projective \(u\)-covariant \((\alpha)\)-completely positive linear maps and their corresponding \(\rho\)-maps. (English) Zbl 1524.46095
Distributed Krein space-based attack detection over sensor networks under deception attacks. (English) Zbl 1429.93135
Maps completely preserving indefinite Jordan 1-\(\dagger\)-zero product. (Chinese. English summary) Zbl 1438.46035
The absolute values and support projections for a class of operator matrices involving idempotents. (English) Zbl 1480.47005
Möbius-Lie geometry and its extension. (English) Zbl 1415.51003
Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 20th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 2–7, 2018. Sofia: Avangard Prima; Sofia: Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering. Geom. Integrability Quantization 20, 13-61 (2019).
Rigged de Branges-Pontryagin spaces and their application to extensions and embedding. (English) Zbl 1423.46038
Vacuum polarization of weak interaction theory in Krein space quantization. (English) Zbl 1409.81172
Dynamics of finite dimensional non-Hermitian systems with indefinite metric. (English) Zbl 1406.81035
The minus order for idempotents. arXiv:1912.09718
Preprint, arXiv:1912.09718 [math.FA] (2019).
Operator Pencils and Half-range Problem in Operator Theory. arXiv:1912.04813
Preprint, arXiv:1912.04813 [math.SP] (2019).
Canonical form for \(H\)-symplectic matrices. (English) Zbl 1473.15020
Bart, Harm (ed.) et al., Operator theory, analysis and the state space approach. In honor of Rien Kaashoek. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 271, 269-290 (2018).
Reviewer: Bích Nhu Phạm (Can Tho)
Similar generalized frames. (English) Zbl 1413.46030
Dissymmetrising inner product spaces. (English) Zbl 1409.46019
Alpay, Daniel (ed.) et al., Indefinite inner product spaces, Schur analysis, and differential equations. A volume dedicated to Heinz Langer. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 263, 485-495 (2018).
Compressed resolvents, \(Q\)-functions and \(h_0\)-resolvents in almost Pontryagin spaces. (English) Zbl 1471.47025
Alpay, Daniel (ed.) et al., Indefinite inner product spaces, Schur analysis, and differential equations. A volume dedicated to Heinz Langer. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 263, 425-484 (2018).
Reviewer: Carsten Trunk (Ilmenau)
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