Výsledky vyhledávání - "Linear operators on spaces with an indefinite metric"

On positive vectors in indefinite inner product spaces

Autoři: Fabio Bagarello Sergiusz Kużel

Zdroj: Bulletin of Mathematical Sciences, Vol 15, Iss 01 (2025)

Témata: positive vectors, 46C20, 47B50, 47D03, semi-group of operators, FOS: Physical sciences, Mathematical Physics (math-ph), indefinite inner product space, 01 natural sciences, Functional Analysis (math.FA), Mathematics - Functional Analysis, Spaces with indefinite inner product (Kreĭn spaces, Pontryagin spaces, etc.), Linear operators on spaces with an indefinite metric, Groups and semigroups of linear operators, unitary operators, 0103 physical sciences, QA1-939, FOS: Mathematics, Indefinite inner product space, 0101 mathematics, Mathematics, Mathematical Physics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2411.04247
https://doaj.org/article/b2b0491b745e426c8eff0e0a0d8eaa93

Spectral points of type π+ and π- of self-adjoint operators in Krein spaces: Spectral points of type \(\pi_{+}\) and \(\pi_{-}\) of self-adjoint operators in Krein spaces

Autoři: Peter Jonas Tomas Ya. Azizov Carsten Trunk

Zdroj: Journal of Functional Analysis. 226:114-137

Témata: Pertubation theory, indefinite inner products, Perturbation theory of linear operators, Self-adjoint operators in Krein spaces, Spectral operators, decomposable operators, well-bounded operators, etc, Locally definitizable operators, 16. Peace & justice, Krein spaces, 01 natural sciences, spectrum of positive type, Linear operators on spaces with an indefinite metric, locally definitizable operators, self-adjoint operators, Indefinite inner products, Spectrum of positive type, 0101 mathematics, perturbation theory

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2207233
https://doi.org/10.1016/j.jfa.2005.03.009
https://www.sciencedirect.com/science/article/pii/S0022123605001023

On approximation of high order singular perturbations

Autoři: Yuri Shondin

Zdroj: Journal of Physics A: Mathematical and General. 38:5023-5039

Témata: Linear symmetric and selfadjoint operators (unbounded), Spaces with indefinite inner product (Kreĭn spaces, Pontryagin spaces, etc.), Linear operators on spaces with an indefinite metric, Perturbation theories for operators and differential equations in quantum theory, 0101 mathematics, 01 natural sciences, Selfadjoint operator theory in quantum theory, including spectral analysis, Singular perturbations of ordinary differential equations

Popis souboru: application/xml

Přístupová URL adresa: http://iopscience.iop.org/0305-4470/38/22/023
https://ui.adsabs.harvard.edu/abs/2005JPhA...38.5023S/abstract
https://iopscience.iop.org/article/10.1088/0305-4470/38/22/023

On Compact Perturbations of Locally Definitizable Selfadjoint Relations in Krein Spaces: On compact perturbations of locally definitizable selfadjoint relations in Krein spaces

Autoři: Behrndt, Jussi Jonas, Peter

Zdroj: Integral Equations and Operator Theory. 52:17-44

Témata: Linear operators on spaces with an indefinite metric, Spaces with indefinite inner product (Kreĭn spaces, Pontryagin spaces, etc.), selfadjoint operators, selfadjoint linear relations, compact perturbations, Perturbation theory of linear operators, definitisable operators, Spectral operators, decomposable operators, well-bounded operators, etc, spectral points of positive type, ddc:510, 0101 mathematics, Krein spaces, 01 natural sciences

Popis souboru: application/xml; application/pdf; application/postscript

Přístupová URL adresa: https://depositonce.tu-berlin.de/bitstream/11303/15509/1/comppert.pdf
https://link.springer.com/article/10.1007/s00020-004-1330-8
https://graz.pure.elsevier.com/en/publications/on-compact-perturbations-of-locally-definitizable-selfadjoint-rel
https://depositonce.tu-berlin.de/handle/11303/15509

A Variational Principle in Krein Space II: A variational principle in Krein space. II

Autoři: Branko Najman Paul Binding Rostyslav O. Hryniv

Zdroj: Integral Equations and Operator Theory. 51:477-500

Témata: variational principle, Linear operators on spaces with an indefinite metric, essential spectrum, Eigenvalue problems for linear operators, Krein space, quasi-uniformly positive operators, 0101 mathematics, 01 natural sciences, Variational methods for eigenvalues of operators

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1007/s00020-005-1349-5

On Operators with Spectral Square but without Resolvent Points: On operators with spectral square but without resolvent points

Autoři: Vladimir Strauss Paul Binding

Zdroj: Canadian Journal of Mathematics. 57:61-81

Témata: Linear operators on spaces with an indefinite metric, Spaces with indefinite inner product (Kreĭn spaces, Pontryagin spaces, etc.), unbounded operators, Invariant subspaces of linear operators, spectral resolution, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), indefinite metric, Spectral operators, decomposable operators, well-bounded operators, etc, 0101 mathematics, 16. Peace & justice, 01 natural sciences, closed operators

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2164637
https://doi.org/10.4153/cjm-2005-003-4
https://dialnet.unirioja.es/servlet/articulo?codigo=1139295
https://cms.math.ca/cjm/abstract/pdf/149755.pdf

State-Space Formulas for the Nehari--Takagi Problem for Nonexponentially Stable Infinite-Dimensional Systems: State-space formulas for the Nehari-Takagi problem for nonexponentially stable infinite-dimensional systems

Autoři: Amol Sasane Kalle Mikkola Joseph A. Ball

Zdroj: SIAM Journal on Control and Optimization. 44:531-563

Témata: Linear operators on spaces with an indefinite metric, 0209 industrial biotechnology, state-space formulas, Operator-theoretic methods, Nehari-Takagi problem, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Suboptimal Hakel norm approximation problem, 02 engineering and technology, infinite-dimensional systems, 0101 mathematics, Applications of operator theory in systems, signals, circuits, and control theory, 01 natural sciences, Approximation by other special function classes

Popis souboru: application/xml

Přístupová URL adresa: https://epubs.siam.org/doi/abs/10.1137/S0363012903433024
http://eprints.lse.ac.uk/13955/
https://research.aalto.fi/en/publications/publication(10c6ecda-50b6-4637-88d8-3ea8179e968f)/export.html
https://dblp.uni-trier.de/db/journals/siamco/siamco44.html#BallMS05

On a Definitizable Analog of the Trigonometric Moment Problem Generating an Indefinite Toeplitz Form: On a definitizable analog of the trigonometric moment problem generating an indefinite Toeplitz form

Autoři: Luis Navarro Vladimir Strauss

Zdroj: Monatshefte f�r Mathematik. 143:333-347

Témata: Spaces with indefinite inner product (Kreĭn spaces, Pontryagin spaces, etc.), Linear operators on spaces with an indefinite metric, Trigonometric moment problems in one variable harmonic analysis, Moment problems, indefinite metric, moment problem, 0101 mathematics, definitizable operator, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2132196
https://doi.org/10.1007/s00605-004-0272-1
https://link.springer.com/article/10.1007/s00605-004-0272-1

Oscillation results for Sturm–Liouville problems with an indefinite weight function: Oscillation results for Sturm--Liouville problems with an indefinite weight function

Autoři: Manfred Möller Heinz Langer Paul Binding

Zdroj: Journal of Computational and Applied Mathematics. 171:93-101

Témata: Signature of an eigenvalue, Applied Mathematics, Sturm Liouville operator, Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators, oscillation, Sturm--Liouville operator, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, 01 natural sciences, Oscillation theory, Indefinite weight, Sturm-Liouville theory, Linear operators on spaces with an indefinite metric, Computational Mathematics, m-Function, Prüfer angle, Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators, Boundary eigenvalue problems for ordinary differential equations, 0101 mathematics, indefinite weight

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2085586
https://doi.org/10.1016/j.cam.2004.01.015
https://www.sciencedirect.com/science/article/pii/S037704270400055X
https://dl.acm.org/citation.cfm?id=1027201
https://www.sciencedirect.com/science/article/abs/pii/S037704270400055X
https://core.ac.uk/display/82164184
http://ui.adsabs.harvard.edu/abs/2004JCoAM.171...93B/abstract
https://dl.acm.org/doi/10.1016/j.cam.2004.01.015

On Krein's formula in indefinite metric spaces

Autoři: Eduard Tsekanovskii Sergey Belyi

Zdroj: Linear Algebra and its Applications. 389:305-322

Témata: Indefinite metrics, Numerical Analysis, Algebra and Number Theory, 01 natural sciences, Krein's formula, Spaces with indefinite inner product (Kreĭn spaces, Pontryagin spaces, etc.), Linear operators on spaces with an indefinite metric, Pontryagin space, Discrete Mathematics and Combinatorics, Dilations, extensions, compressions of linear operators, Geometry and Topology, Spectrum, resolvent, 0101 mathematics, indefinite metrics

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0024379504001569
https://www.sciencedirect.com/science/article/abs/pii/S0024379504001569
https://core.ac.uk/display/82521724

Extension of Locally Defined Indefinite Functions on Ordered Groups: Extension of locally defined indefinite functions on ordered groups

Autoři: Marisela Domínguez Ramón Bruzual

Zdroj: Integral Equations and Operator Theory. 50:57-81

Témata: Linear operators on spaces with an indefinite metric, Spaces with indefinite inner product (Kreĭn spaces, Pontryagin spaces, etc.), Groups and semigroups of linear operators, Archimedian groups, operator valued functions, 0101 mathematics, \(k\)-indefinite functions, indefinite extension property, 01 natural sciences, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), operators in Krein spaces

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2113886
https://doi.org/10.1007/s00020-003-1223-2
https://link.springer.com/article/10.1007/s00020-003-1223-2
https://link.springer.com/content/pdf/10.1007/s00020-003-1223-2.pdf

Factorization of J-unitary matrix polynomials on the line and a Schur algorithm for generalized Nevanlinna functions: Factorization of \(J\)-unitary matrix polynomials on the line and a Schur algorithm for generalized Nevanlinna functions

Autoři: Alpay, Daniel Dijksma, A. Langer, H.

Zdroj: Linear Algebra and its Applications. 387:313-342

Témata: Reproducing kernel, Generalized Nevanlinna function, INTERPOLATION, generalized Nevanlinna function, reproducing kernel Pontryagin space, COISOMETRIC REALIZATIONS, Indefinite metric, 01 natural sciences, Moment problem, Pontryagin space, Reproducing kernel Pontryagin space, Discrete Mathematics and Combinatorics, 0101 mathematics, Linear operator methods in interpolation, moment and extension problems, elementary factor, Numerical Analysis, minimal factorization, Algebra and Number Theory, Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), indefinite metric, J-unitary matrix polynomial, Schur transform, Linear operators on spaces with an indefinite metric, Algebra, Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc, moment problem, Elementary factor, Geometry and Topology, Other Mathematics, Minimal factorization

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2081251
https://doi.org/10.1016/j.laa.2004.02.037
https://core.ac.uk/display/82304901
https://www.narcis.nl/publication/RecordID/oai%3Apure.rug.nl%3Apublications%2Fa263174d-7cb2-4f77-937e-f9453325e2da
http://www.sciencedirect.com/science/article/pii/S0024379504001119
https://digitalcommons.chapman.edu/scs_articles/455/
https://www.sciencedirect.com/science/article/pii/S0024379504001119
https://www.rug.nl/research/portal/en/publications/factorization-of-junitary-matrix-polynomials-on-the-line-and-a-schur-algorithm-for-generalized-nevanlinna-functions(a263174d-7cb2-4f77-937e-f9453325e2da).html

Decompositions of a Krein space in regular subspaces invariant under a uniformly bounded C0-semigroup of bi-contractions: Decompositions of a Krein space in regular subspaces invariant under a uniformly bounded \(C_{0}\)-semigroup of bi-contractions

Autoři: Aad Dijksma A. I. Barsukov Tomas Ya. Azizov

Zdroj: Journal of Functional Analysis. 211:324-354

Témata: Invariant subspaces of linear operators, power boundedness, uniformly bounded, co-generator, Generator, \(C\)-semigroups, regularized semigroups, 01 natural sciences, Similarity, Invariant subspace, Spaces with indefinite inner product (Kreĭn spaces, Pontryagin spaces, etc.), Dissipative operator, invariant subspace, Hilbert, bi-contraction, Dilations, extensions, compressions of linear operators, 0101 mathematics, pontryagin, similarity, C0-semigroup, Uniformly bounded, generator, Co-generator, power bounded, \(C\)-semigroups, ONE-PARAMETER SEMIGROUPS, Krein (sub-)space, Linear operators on spaces with an indefinite metric, dissipative operator, C-0-semigroup, Power bounded, bi-contractions, Analysis, Bi-contraction

Popis souboru: application/xml

Přístupová URL adresa: https://hdl.handle.net/11370/4bb46f4f-1682-4b88-95c2-413e9b7908d2
https://research.rug.nl/en/publications/4bb46f4f-1682-4b88-95c2-413e9b7908d2
https://doi.org/10.1016/j.jfa.2003.08.011
https://www.rug.nl/research/portal/files/119916140/1_s2.0_S0022123603003884_main.pdf
https://www.rug.nl/research/portal/publications/decompositions-of-a-krein-space-in-regular-subspaces-invariant-under-a-uniformly-bounded-c0semigroup-of-bicontractions(4bb46f4f-1682-4b88-95c2-413e9b7908d2)/export.html
https://www.sciencedirect.com/science/article/pii/S0022123603003884
https://core.ac.uk/display/81104669
https://www.narcis.nl/publication/RecordID/oai%3Apure.rug.nl%3Apublications%2F4bb46f4f-1682-4b88-95c2-413e9b7908d2

Sets of matrices with common Stein solutions and H-contractions: Sets of matrices with common Stein solutions and \(H\)-contractions

Autoři: T. Ando

Zdroj: Linear Algebra and its Applications. 383:49-64

Témata: Numerical Analysis, 0209 industrial biotechnology, Algebra and Number Theory, indefinite inner product, H-contraction, matrix inequality, 02 engineering and technology, Hermitian matrix, 01 natural sciences, Potapov–Ginzburg transform, Matrix inequality, Linear operators on spaces with an indefinite metric, Miscellaneous inequalities involving matrices, Indefinite inner product, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Discrete Mathematics and Combinatorics, Linear operator inequalities, Geometry and Topology, 0101 mathematics, \(H\)-contraction, Potapov-Ginzburg transform, Stein solution

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/abs/pii/S0024379503008061
https://core.ac.uk/display/82702249
https://www.sciencedirect.com/science/article/pii/S0024379503008061

Applying projective geometry to transformations on rank one idempotents

Autoři: Peter Šemrl

Zdroj: Journal of Functional Analysis. 210:248-257

Témata: Linear operators on Banach algebras, idempotent operators, Spaces with indefinite inner product (Kreĭn spaces, Pontryagin spaces, etc.), Linear operators on spaces with an indefinite metric, Orthogonality preserving transformations, orthogonality preserving transformations, Idempotent operators, Transformers, preservers (linear operators on spaces of linear operators), 0101 mathematics, indefinite inner product space, Indefinite inner product spaces, 01 natural sciences, Analysis

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0022123603003008
https://core.ac.uk/display/82683681

Spectral problems for generalized Jacobi matrices

Autoři: Vladimir Derkach Maxim Derevyagin

Zdroj: Linear Algebra and its Applications. 382:1-24

Témata: Schur algorithm, Eigenvalues, singular values, and eigenvectors, Jacobi (tridiagonal) operators (matrices) and generalizations, Continued fraction, Inverse problems in linear algebra, Moment problems and interpolation problems in the complex plane, 01 natural sciences, Pade approximant, Pontryagin space, Padé approximant, m-Function, Discrete Mathematics and Combinatorics, Hermitian, skew-Hermitian, and related matrices, \(m-\)function, inverse spectral problem, 0101 mathematics, Padé approximation, Linear operator methods in interpolation, moment and extension problems, Continued fractions, complex-analytic aspects, Numerical Analysis, convergence, Algebra and Number Theory, Inverse spectral problem, Hamburger series, continued fraction, Stone's theorem, Linear operators on spaces with an indefinite metric, Jacobi matrix, Geometry and Topology

Popis souboru: application/xml

Přístupová URL adresa: https://core.ac.uk/display/82570694
http://www3.math.tu-berlin.de/numerik/trunk/abstracts/derkach.pdf
https://www.sciencedirect.com/science/article/pii/S0024379503008279
https://www3.math.tu-berlin.de/numerik/trunk/abstracts/derkach.pdf

Rank one perturbations at infinite coupling in Pontryagin spaces: Rank one perturbations at infinite coupling in Pontryagin spaces.

Autoři: Aad Dijksma Heinz Langer Yuri Shondin

Zdroj: Journal of Functional Analysis. 209:206-246

Témata: extension theory, Generalized Nevanlinna function, \(Q\)-function, Defect function, POINT-LIKE PERTURBATIONS, generalized Nevanlinna function, symmetric operator, DEFINITIZABLE OPERATORS, infinite coupling, 01 natural sciences, Linear symmetric and selfadjoint operators (unbounded), Pontryagin space, Q-function, Linear relations (multivalued linear operators), EXTENSIONS, Symmetric operator, Self-adjoint linear relation, self-adjoint linear relation, 0101 mathematics, symmetric, rank one perturbation, Rank one perturbation, Hilbert space, KREIN SPACES, IIX, Infinite coupling, Linear operators on spaces with an indefinite metric, Ordinary differential operators, pontryagin space, operator, defect function, Bessel and Airy functions, cylinder functions, \({}_0F_1\), GENERALIZED NEVANLINNA FUNCTIONS, Extension theory, Analysis

Popis souboru: application/xml

Přístupová URL adresa: https://research.rug.nl/en/publications/rank-one-perturbations-at-infinite-coupling-in-pontryagin-spaces
https://www.rug.nl/research/portal/publications/rank-one-perturbations-at-infinite-coupling-in-pontryagin-spaces(ae03efe2-3b6a-4aa5-84f2-d025b9f98867)/export.html
https://pure.rug.nl/ws/files/2946842/2004JFunctAnalDijksma.pdf
https://www.sciencedirect.com/science/article/pii/S0022123603002994
https://www.narcis.nl/publication/RecordID/oai%3Apure.rug.nl%3Apublications%2Fae03efe2-3b6a-4aa5-84f2-d025b9f98867
https://core.ac.uk/display/101194449

Theory of Linear Dissipative Scattering Systems with Discrete Time and with Space States of the Class π k: Theory of linear dissipative scattering systems with discrete time and with space states of the class \(\pi_\kappa\)

Autoři: S. M. Saprikin

Zdroj: Journal of Mathematical Sciences. 120:1752-1765

Témata: Linear operators on spaces with an indefinite metric, Applications of operator theory in numerical analysis, Scattering theory of linear operators, 0101 mathematics, Applications of operator theory in systems, signals, circuits, and control theory, Linear accretive operators, dissipative operators, etc, minimal optimal dissipative scattering system, Pontryagin state space, 01 natural sciences, Popov-type stability of feedback systems, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), generalized Schur class

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1023/B%3AJOTH.0000018873.75790.45

An elliptic boundary problem involving a semi-definite weight

Autoři: Faierman, M.

Zdroj: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 134:109-136

Témata: semi-definite weight, Linear operators on spaces with an indefinite metric, operator pencil, Boundary value problems for higher-order elliptic equations, Asymptotic distributions of eigenvalues in context of PDEs, General theory of partial differential operators, eigenvalue asymptotics, eigenvectors, General topics in linear spectral theory for PDEs, elliptic boundary problem, 0101 mathematics, 01 natural sciences, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones)

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2114667
https://doi.org/10.1017/s0308210500003103

GENERALIZED LINEAR METHODS AND CONVERGENCE ACCELERATION: Generalized linear methods and convergence acceleration

Autoři: Tammeraid, I.

Zdroj: Mathematical Modelling and Analysis, Vol 8, Iss 4 (2003)
Mathematical Modelling and Analysis; Vol 8 No 4 (2003); 329-335

Témata: Linear operators on spaces with an indefinite metric, Approximation to limiting values (summation of series, etc.), summability methods, sequence summable by a generalized method, QA1-939, convergence acceleration, generalized linear methods, 0101 mathematics, 01 natural sciences, Mathematics

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://journals.vgtu.lt/index.php/MMA/article/download/9788/8534
https://zbmath.org/2157187
https://doaj.org/article/5826d59728174b3f8683d9d88525c45c
https://journals.vilniustech.lt/index.php/MMA/article/view/9788