Výsledky vyhledávání - "Linear operator methods in interpolation, moment and extension problems"

The Nevanlinna formula for matrix Nevanlinna-Pick interpolation

Autoři: Dyukarev, Yury

Zdroj: Linear Algebra and its Applications. 709:241-270

Témata: Moment problems, matrix Nevanlinna-Pick interpolation problem, matrix Hamburger moment problem, Moment problems and interpolation problems in the complex plane, Approximation in the complex plane, Linear operator methods in interpolation, moment and extension problems

Popis souboru: application/xml

Distinguished varieties and the Nevanlinna–Pick problem on the symmetrized bidisk: Distinguished varieties and the Nevanlinna-Pick problem on the symmetrized bidisk

Autoři: Das, B. Krishna Kumar, Poornendu Sau, Haripada

Zdroj: Mathematische Zeitschrift. 310

Témata: Nevanlinna-Pick interpolation, reproducing kernels, realization formulae, Several-variable operator theory (spectral, Fredholm, etc.), Analytic subsets and submanifolds, uniqueness varieties, distinguished varieties, Dilations, extensions, compressions of linear operators, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), inner functions, Determinantal varieties, admissible kernels, Linear operator methods in interpolation, moment and extension problems

Popis souboru: application/xml

A new class of gamma-type operator and its improvement: theory and numerical experiments

Autoři: Hassan Khosravian-Arab Mehdi Dehghan

Zdroj: Computational and Applied Mathematics. 44

Témata: Linear operator approximation theory, Weierstrass' theorem, Approximations and expansions, Algorithms for approximation of functions, Numerical integration, positive linear operator, Voronovskaja's asymptotic formula, Korovkin theorem, Linear operator methods in interpolation, moment and extension problems, uniform convergence, second-order approximation

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8034210
https://doi.org/10.1007/s40314-025-03174-2

Flat extension technique for moment matrices of positive linear functionals over mixed polynomials and an application in quantum information

Autoři: Thanh Hieu Le Minh Toan Ho

Zdroj: Annals of Functional Analysis. 16

Témata: flat extension, mixed polynomial, moment matrix, Other ''noncommutative' mathematics based on \(C^*\)-algebra theory, Hermitian, skew-Hermitian, and related matrices, squared norm polynomial, Linear operator methods in interpolation, moment and extension problems, sum of squared magnitude polynomial, separable state, Algebras of holomorphic functions of several complex variables

Popis souboru: application/xml

CMV matrices, a matrix version of Baxter's theorem, scattering and de Branges spaces

Autoři: Dym H Kimsey DP

Zdroj: EMS Surveys in Mathematical Sciences. 3:1-105

Témata: Baxter's theorem, Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), de Branges spaces, Jacobi (tridiagonal) operators (matrices) and generalizations, matrix orthogonal polynomials, Nehari problem, 01 natural sciences, reproducing kernel Hilbert spaces, Schur parameters CMV matrices, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), 0101 mathematics, scattering matrices, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Linear operator methods in interpolation, moment and extension problems

Popis souboru: application/xml

Přístupová URL adresa: https://www.ems-ph.org/journals/show_pdf.php?issn=2308-2151&vol=3&iss=1&rank=1
https://eprints.ncl.ac.uk/223788
http://www.ems-ph.org/journals/show_abstract.php?issn=2308-2151&vol=3&iss=1&rank=1
https://www.ncl.ac.uk/library/linkit/?sv=e&d=223788
https://eprint.ncl.ac.uk/223788
http://www.ems-ph.org/doi/10.4171/EMSS/14

Orthogonality of analytic polynomials: a little step further

Autoři: Szafraniec, Franciszek

Zdroj: Journal of Computational and Applied Mathematics. 179:343-353

Témata: Complex moment problem, subnormal operator, Positive definiteness, positive definiteness, Applied Mathematics, Recurrence relation, Subnormal operator, 01 natural sciences, Special classes of linear operators, Computational Mathematics, Hessenberg matrix, analytic polynomials, recurrence relation, complex moment problem, 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Linear operator methods in interpolation, moment and extension problems, Analytic polynomials

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2173204
https://doi.org/10.1016/j.cam.2004.09.049
https://www.sciencedirect.com/science/article/abs/pii/S0377042704004583
https://www.sciencedirect.com/science/article/pii/S0377042704004583
https://core.ac.uk/display/82670422
http://ui.adsabs.harvard.edu/abs/2005JCoAM.179..343S/abstract
https://ruj.uj.edu.pl/xmlui/handle/item/82925

Compact Solutions To An Operator Equation In Nest and Csl Algebras: Compact solutions to an operator equation in nest and CSL algebras

Autoři: Power, S. C. Annousis, A. Katsoulis, E.

Témata: CSL algebra, nest algebra, Abstract operator algebras on Hilbert spaces, interpolation problem, vector interpolation equation, Linear operator methods in interpolation, moment and extension problems, Equations involving linear operators, with operator unknowns

Popis souboru: application/xml

Interpolation Problems For Hilbert-Schmidt Operators In Reflexive Algebras: Interpolation problems for Hilbert-Schmidt operators in reflexive algebras

Autoři: Katsoulis, Eg Anousis, M Moore, Rl a další

Témata: Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), ideal of Hilbert-Schmidt operators, \(n\)-vector interpolation problem, nest algebra, Abstract operator algebras on Hilbert spaces, Linear operator methods in interpolation, moment and extension problems, CSL algebras

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/411711
https://hdl.handle.net/11454/33860

On Truncated Matricial Stieltjes Type Moment Problems: On truncated matricial Stieltjes type moment problems

Autoři: Yuriy M. Dyukarev Bernd Fritzsche Conrad Mädler a další

Zdroj: Complex Analysis and Operator Theory. 4:905-951

Témata: nonnegative Hermitian block Hankel matrices, nonnegative Hermitian measures, truncated matricial Stieltjes type moment problem, completely degenerate nonnegative Hermitian measure, Moment problems, 0101 mathematics, Moment problems and interpolation problems in the complex plane, Linear operator methods in interpolation, moment and extension problems, 01 natural sciences, Hankel nonnegative definite sequences, completely degenerate Hankel nonnegative definite sequences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/5826151
https://doi.org/10.1007/s11785-009-0002-8
https://link.springer.com/article/10.1007%2Fs11785-009-0002-8
https://link.springer.com/content/pdf/10.1007%2Fs11785-009-0002-8.pdf

Parameterization of All Solutions of the Three Chains Completion Problem: Parametrization of all solutions of the three chains completion problem

Autoři: Ciprian Foias Arthur E. Frazho Marinus A. Kaashoek a další

Zdroj: Metric Constrained Interpolation, Commutant Lifting and Systems ISBN: 9783034897754

Témata: Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, 0101 mathematics, Moment problems and interpolation problems in the complex plane, 16. Peace & justice, Linear operator methods in interpolation, moment and extension problems, 01 natural sciences, suboptimal nonstationary Nehari problem, contractive upper triangular operators

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1113586
https://doi.org/10.1007/bf01193812
https://link.springer.com/chapter/10.1007/978-3-0348-8791-5_15
https://link.springer.com/content/pdf/10.1007/BF01193812.pdf
https://rd.springer.com/chapter/10.1007/978-3-0348-8791-5_15

A Criterion for the Nonuniqueness of the Measure of Orthogonality: A criterion for the nonuniqueness of the measure of orthogonality

Autoři: Ifantis, E. K.

Zdroj: Journal of Approximation Theory. 89:207-218

Témata: Mathematics(all), Numerical Analysis, Applied Mathematics, Applied mathematics, Moment problems and interpolation problems in the complex plane, 01 natural sciences, orthonormal polynomials, Linear symmetric and selfadjoint operators (unbounded), selfadjoint operator, Jacobi matrix, recurrence relation, Εφαρμοσμένα μαθηματικά, 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Linear operator methods in interpolation, moment and extension problems, Analysis

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/abs/pii/S0021904596930312
https://core.ac.uk/display/82716419
https://www.sciencedirect.com/science/article/pii/S0021904596930312
https://pergamos.lib.uoa.gr/uoa/dl/object/1058101

On rank invariance of generalized Schwarz–Pick–Potapov block matrices of matrix-valued Carathéodory functions: On rank invariance of generalized Schwarz--Pick--Potapov block matrices of matrix-valued Carathéodory functions

Autoři: Andreas Lasarow

Zdroj: Linear Algebra and its Applications. 413:36-58

Témata: Numerical Analysis, Algebra and Number Theory, Matricial Carathéodory function, matricial Carathéodory function, generalized Schwarz--Pick--Potapov block matrix, Nevanlinna--Pick interpolation, Nevanlinna–Pick interpolation, Moment problems and interpolation problems in the complex plane, 01 natural sciences, Generalized Schwarz–Pick–Potapov block matrix, Discrete Mathematics and Combinatorics, Hermitian, skew-Hermitian, and related matrices, Geometry and Topology, 0101 mathematics, Linear operator methods in interpolation, moment and extension problems

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/5012987
https://doi.org/10.1016/j.laa.2005.07.020
https://www.sciencedirect.com/science/article/pii/S0024379505003861
https://www.sciencedirect.com/science/article/abs/pii/S0024379505003861
https://core.ac.uk/display/34328885

The Nehari problem for the Pritchard-Salamon class of infinite-dimensional linear systems: a direct approach: The Nehari problem for the Pritchard-Salamon class of infinite- dimensional linear systems: A direct approach

Autoři: Ruth F. Curtain Hans Zwart

Zdroj: Integral Equations and Operator Theory. 18:130-153

Témata: 0209 industrial biotechnology, \(H^\infty\)-control, 02 engineering and technology, 01 natural sciences, infinitesimal generator of an exponentially stable \(C_ 0\)-semigroup, Nehari-problem, \(J\)-spectral factorizations, METIS-141699, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Control/observation systems in abstract spaces, 0101 mathematics, Linear operator methods in interpolation, moment and extension problems, regular Pritchard-Salamon system, \(J\)-spectral factorization problem

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/604799
https://doi.org/10.1007/bf01192456
https://research.utwente.nl/en/publications/25249c2a-58b1-41c2-a9ba-34cba54bf6b2
https://research.utwente.nl/en/publications/e08f3c96-1ad9-4cd7-8dfa-0eeeee1f4753
https://doi.org/10.1007/BF01192456
https://research.utwente.nl/en/publications/b5be6e27-cd31-4714-a4c9-05b38be0d931
https://rd.springer.com/article/10.1007/BF01192456
https://www.rug.nl/research/portal/publications/the-nehari-problem-for-the-pritchardsalamon-class-of-infinitedimensional-linearsystems--a-direct-approach(dae9540d-c0d8-4832-9b1a-0b344848be51)/export.html
https://link.springer.com/article/10.1007%2FBF01192456
https://link.springer.com/content/pdf/10.1007/BF01192456.pdf
https://www.narcis.nl/publication/RecordID/oai%3Aris.utwente.nl%3Apublications%2F25249c2a-58b1-41c2-a9ba-34cba54bf6b2
https://research.utwente.nl/en/publications/the-nehari-problem-for-the-pritchard-salamon-class-of-infinite-di-2

Carathéodory interpolation on the non-commutative polydisk

Autoři: Dmitry S. Kalyuzhnyı˘-Verbovetzkiı˘

Zdroj: Journal of Functional Analysis. 229:241-276

Témata: 01 natural sciences, 47A57, 47A13, 46L89, 47A20, FOS: Mathematics, Dilations, extensions, compressions of linear operators, Formal power series, 0101 mathematics, Linear operator methods in interpolation, moment and extension problems, Carathéodory--Fejér problem, Several-variable operator theory (spectral, Fredholm, etc.), Other ''noncommutative' mathematics based on \(C^*\)-algebra theory, jointly nilpotent operators, Jointly nilpotent operators, Completely positive map, interpolation, Carathéodory problem, Interpolation, Carathéodory–Fejér problem, Functional Analysis (math.FA), Dilation, Non-commutative, Arveson extension theorem, formal power series, dilation, completely positive map, Analysis, non-commutative

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2248322
https://doi.org/10.1016/j.jfa.2005.03.007
http://www.math.drexel.edu/faculty/dmitryk/wp-content/uploads/sites/6/2013/09/10.pdf
https://core.ac.uk/display/82002742
http://ui.adsabs.harvard.edu/abs/2004math.....12161K/abstract
https://www.sciencedirect.com/science/article/pii/S0022123605001047
https://www.sciencedirect.com/science/article/abs/pii/S0022123605001047

Real interpolation of domains of sectorial operators on Lp-spaces: Real interpolation of domains of sectorial operators on \(L_p\)-spaces

Autoři: Lutz Weis Tamara Kucherenko

Zdroj: Journal of Mathematical Analysis and Applications. 310:278-285

Témata: Functional calculus for linear operators, real interpolation, representation of regular operators, Real interpolation, Interpolation between normed linear spaces, Representation of regular operators, Sectorial operators, 0101 mathematics, \(H^{\infty}\)-calculus, Linear operator methods in interpolation, moment and extension problems, 01 natural sciences, sectorial operators, H∞-calculus

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2207269
https://doi.org/10.1016/j.jmaa.2005.02.009
https://www.sciencedirect.com/science/article/abs/pii/S0022247X05001058
http://ui.adsabs.harvard.edu/abs/2005JMAA..310..278K/abstract
https://www.sciencedirect.com/science/article/pii/S0022247X05001058

A Grassmannian band method approach to the Nehari–Takagi problem: A Grassmannian band method approach to the Nehari--Takagi problem

Autoři: Orest Iftime Marinus A. Kaashoek Amol Sasane

Zdroj: Journal of Mathematical Analysis and Applications. 310:97-115

Témata: OPERATORS, Nehari–Takagi problem, 0209 industrial biotechnology, SDG 16 - Peace, Operator-theoretic methods, Applied Mathematics, Nehari-Takagi problem, 02 engineering and technology, Applications of operator theory in systems, signals, circuits, and control theory, 01 natural sciences, Justice and Strong Institutions, Grassmannian band method, EXTENSIONS, Systems theory, 0101 mathematics, systems theory, Linear operator methods in interpolation, moment and extension problems, Analysis

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2207256
https://doi.org/10.1016/j.jmaa.2005.01.048
https://hdl.handle.net/1871/44773
https://doi.org/10.1016/j.jmaa.2005.01.048
https://research.vu.nl/en/publications/8055748f-4801-4974-9b35-ddac894fafb3
https://research.rug.nl/en/publications/1619363c-9d0a-4ee5-b01c-e131df6d9e34
https://hdl.handle.net/11370/1619363c-9d0a-4ee5-b01c-e131df6d9e34
https://doi.org/10.1016/j.jmaa.2005.01.048
https://eprints.lse.ac.uk/id/eprint/15608
https://www.narcis.nl/publication/RecordID/oai%3Apure.rug.nl%3Apublications%2F1619363c-9d0a-4ee5-b01c-e131df6d9e34
https://research.vu.nl/en/publications/a-grassmannian-band-method-approach-to-the-nehari-takagi-problem
https://www.sciencedirect.com/science/article/pii/S0022247X05000569
http://www.rug.nl/research/portal/publications/a-grassmannian-band-method-approach-to-the-neharitakagi-problem(1619363c-9d0a-4ee5-b01c-e131df6d9e34).html
http://ui.adsabs.harvard.edu/abs/2005JMAA..310...97I/abstract

Tensor algebras and displacement structure. IV. Invariant kernels

Autoři: Nermine El-Sissi Tiberiu Constantinescu T. Banks

Zdroj: Linear Algebra and its Applications. 405:83-103

Témata: Numerical Analysis, displacement structure, Algebra and Number Theory, Displacement structure, invariant positive definite kernels, Dyck paths, 01 natural sciences, Factorization of matrices, moment kernel, Functional Analysis (math.FA), Mathematics - Functional Analysis, Invariant positive definite kernels, Multilinear algebra, tensor calculus, FOS: Mathematics, Discrete Mathematics and Combinatorics, Mathematics - Combinatorics, Geometry and Topology, Combinatorics (math.CO), 0101 mathematics, Linear operator methods in interpolation, moment and extension problems, orthogonal polynomials, 15A69, 47A57

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/math/0410491
https://zbmath.org/2189251
https://doi.org/10.1016/j.laa.2005.03.013
http://ui.adsabs.harvard.edu/abs/2004math.....10491B/abstract
https://www.sciencedirect.com/science/article/pii/S0024379505001710
https://core.ac.uk/display/81994042

THE QUARTIC MOMENT PROBLEM: The quartic moment problem

Autoři: Li, Chunji Lee, Sang Hoon

Zdroj: Journal of the Korean Mathematical Society. 42:723-747

Témata: flat extension, Moment problems, 0101 mathematics, Moment problems and interpolation problems in the complex plane, quartic moment problem, Linear operator methods in interpolation, moment and extension problems, 01 natural sciences, representing measure

Popis souboru: application/xml

Přístupová URL adresa: http://society.kisti.re.kr/sv/SV_svpsbs03V.do?method=download&cn1=JAKO200504840680281
http://koreascience.or.kr/article/ArticleFullRecord.jsp?cn=DBSHBB_2005_v42n4_723

Commutant lifting and factorization of reproducing kernels

Autoři: Serguei Shimorin

Zdroj: Journal of Functional Analysis. 224:134-159

Témata: commutant lifting, reproducing kernels, Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), Commutant lifting, Dilations, extensions, compressions of linear operators, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), 0101 mathematics, Reproducing kernels, Linear operator methods in interpolation, moment and extension problems, 01 natural sciences, Analysis

Popis souboru: application/xml

Přístupová URL adresa: https://core.ac.uk/display/82767516
https://www.sciencedirect.com/science/article/pii/S0022123604003283
http://www.diva-portal.org/smash/record.jsf?pid=diva2:332865

On Hilbert modules of rational matrix-valued functions and related inverse problems

Autoři: Andreas Lasarow Bernd Fritzsche Bernd Kirstein

Zdroj: Journal of Computational and Applied Mathematics. 179:215-248

Témata: Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), Applied Mathematics, Nonnegative Hermitian Borel measures on the unit circle, Moment problems and interpolation problems in the complex plane, Reproducing kernels, 01 natural sciences, Orthogonal rational matrix-valued functions, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), Rational moment problem, orthogonal rational matrix-valued functions, reproducing kernels, Computational Mathematics, rational moment problem, Moment problems, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), 0101 mathematics, Linear operator methods in interpolation, moment and extension problems, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, nonnegative Hermitian Borel measures on the unit circle

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2173196
https://doi.org/10.1016/j.cam.2004.09.042
https://www.sciencedirect.com/science/article/pii/S0377042704004509
https://core.ac.uk/display/34328825
https://ui.adsabs.harvard.edu/abs/2005JCoAM.179..215F/abstract