Suchergebnisse - Linear operator methods in interpolation, moment and extension problems*

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

Autoren: Thanh Hieu Le Minh Toan Ho

Quelle: Annals of Functional Analysis. 16

Schlagwörter: 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

Dateibeschreibung: application/xml

The Nevanlinna formula for matrix Nevanlinna-Pick interpolation

Autoren: Dyukarev, Yury

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

Schlagwörter: 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

Dateibeschreibung: application/xml

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

Autoren: Hassan Khosravian-Arab Mehdi Dehghan

Quelle: Computational and Applied Mathematics. 44

Schlagwörter: 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

Dateibeschreibung: application/xml

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

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

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

Quelle: Mathematische Zeitschrift. 310

Schlagwörter: 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

Dateibeschreibung: application/xml

Interpolation Problems, Extensions of Symmetric Operators and Reproducing Kernel Spaces I: Interpolation problems, extensions of symmetric operators and reproducing kernel spaces. II

Autoren: Alpay, Daniel Bruinsma, Piet Dijksma, Aad et al.

Quelle: Operator Theory: Advances and Applications ISBN: 9783034856744

Schlagwörter: Linear symmetric and selfadjoint operators (unbounded), reproducing kernel spaces of holomorphic functions, de Branges theory of Hilbert spaces of analytic functions, Dym's method to solve interpolation problems, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), 0101 mathematics, interpolation problems, 16. Peace & justice, Linear operator methods in interpolation, moment and extension problems, 01 natural sciences, interpolation problems for pairs of matrix functions of the extended Nevanlinna class, Kreĭn-Langer theory of extensions of symmetric operators

Dateibeschreibung: application/xml

Zugangs-URL: https://research.rug.nl/en/publications/8ac05027-835c-4345-b7ee-9f10c3fcb0bf
https://hdl.handle.net/11370/8ac05027-835c-4345-b7ee-9f10c3fcb0bf
https://link.springer.com/chapter/10.1007/978-3-0348-5672-0_3
https://www.narcis.nl/publication/RecordID/oai%3Apure.rug.nl%3Apublications%2F1defab4c-1b69-48c6-a296-d055692cb59a
https://www.rug.nl/research/portal/publications/interpolation-problems-extensions-of-symmetrical-operators-and-reproducing-kernel-spaces-2(1defab4c-1b69-48c6-a296-d055692cb59a).html
https://rd.springer.com/chapter/10.1007/978-3-0348-5672-0_3
https://research.rug.nl/en/publications/interpolation-problems-extensions-of-symmetrical-operators-and-re-2
https://link.springer.com/content/pdf/10.1007/BF01200325.pdf

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

Autoren: Katsoulis, Eg Anousis, M Moore, Rl et al.

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/411711
https://hdl.handle.net/11454/33860

The band method and generalized Carath�odory-Toeplitz interpolation at operator points: The band method and generalized Carathéodory-Toeplitz interpolation at operator points

Autoren: Marinus A. Kaashoek Chris Zeinstra

Quelle: Integral Equations and Operator Theory. 33:175-210

Schlagwörter: band method, Carathéodory-Toeplitz interpolation problem, operator valued functions with operator arguments, extension problems of structured matrices, 0101 mathematics, Moment problems and interpolation problems in the complex plane, Linear operator methods in interpolation, moment and extension problems, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://research.utwente.nl/en/publications/the-band-method-and-generalized-carath%C3%A9odory-toeplitz-interpolati
https://research.vu.nl/en/publications/the-band-method-and-generalized-caratheodory-toeplitz-interpolati
https://link.springer.com/content/pdf/10.1007/BF01233963.pdf
https://link.springer.com/article/10.1007/BF01233963
https://www.narcis.nl/publication/RecordID/oai%3Aresearch.vu.nl%3Apublications%2F9a1f2e14-3860-4b83-9be7-1a17b84b7681

The Nevanlinna–Pick interpolation problems and power moment problems for matrix-valued functions III: The infinitely many data case: The Nevanlinna-Pick interpolation problems and power moment problems for matrix-valued functions. III: The infinitely many data case

Autoren: Gong-Ning Chen Yong-Jian Hu

Quelle: Linear Algebra and its Applications. 306:59-86

Schlagwörter: linear fractional transformation, Schur algorithm, denumerable set of nodes, Moment problems and interpolation problems in the complex plane, 01 natural sciences, nonnegatively extendable, orthogonal polynomial matrices, Hamburger moment problem, Loewner-Hankel matrix relation, Discrete Mathematics and Combinatorics, Hermitian, skew-Hermitian, and related matrices, 0101 mathematics, Linear operator methods in interpolation, moment and extension problems, Nevanlinna-Pick interpolation, Numerical Analysis, Algebra and Number Theory, block Hankel vector, infinite generalized block Loewner matrix, Nevanlinna–Pick interpolation, Weyl matrix disk, matrix continued fractions, generalized Schur complement, Nevanlinna class, Generalized Schur complement, Geometry and Topology, Block Hankel vector, Nonnegatively extendable

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1421385
https://doi.org/10.1016/s0024-3795(99)00241-4
https://www.sciencedirect.com/science/article/pii/S0024379599002414
https://www.sciencedirect.com/science/article/abs/pii/S0024379599002414

SUBNORMALITY AND OPERATOR MULTIDIMENSIONAL MOMENT PROBLEMS: Subnormality and operator multidimensional moment problems

Autoren: Jabłoński, Zenon Stochel, Jan

Quelle: Journal of the London Mathematical Society. 71:438-466

Schlagwörter: subnormal operator, Moment problems, Hermitian and normal operators (spectral measures, functional calculus, etc.), moment problem, 0101 mathematics, Subnormal operators, hyponormal operators, etc, Linear operator methods in interpolation, moment and extension problems, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://www.cambridge.org/core/journals/journal-of-the-london-mathematical-society/article/subnormality-and-operator-multidimensional-moment-problems/E99EE2332A90CDF05EC577A69E9B3B70
http://doi.wiley.com/10.1112/S0024610705006289
https://dialnet.unirioja.es/servlet/articulo?codigo=2207205
https://documat.unirioja.es/servlet/articulo?codigo=2207205
https://academic.oup.com/jlms/article/71/2/438/889085
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024610705006289
https://ruj.uj.edu.pl/xmlui/handle/item/82620

On Indefinite Moment Problems and Resolvent Matrices of Hermitian Operators in Kreîn Spaces: Indefinite moment problem and resolvent matrices of Hermitian operators in Krein spaces

Autoren: Vladimir Derkach

Quelle: Mathematische Nachrichten. 184:135-166

Schlagwörter: L-resolvents, spaces with indefinite metric, symmetric operators in spaces with indefinite metric, Hermitian operators, 01 natural sciences, continued fraction, Linear operators on spaces with an indefinite metric, indefinite moment problem, symmetric operators, Hankel matrices, Stieltjes string, Moment problems, Krein space, Kreĭn-Langer extension, Hermitian and normal operators (spectral measures, functional calculus, etc.), Spectrum, resolvent, Krein-Langer extension, 0101 mathematics, Linear operator methods in interpolation, moment and extension problems

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1104607
http://onlinelibrary.wiley.com/doi/10.1002/mana.19971840106/abstract

Linear interpolation problems for matrix classes and a transformational characterization of M-matrices: Linear interpolation problems for matrix classes and a transformational characterization of \(M\)-matrices

Autoren: Charles R. Johnson Ronald L. Smith

Quelle: Linear Algebra and its Applications. 330:43-48

Schlagwörter: Numerical Analysis, Algebra and Number Theory, M-matrices, \(M\)-matrices, 01 natural sciences, \(H\)-matrices, Positive matrices and their generalizations, cones of matrices, Norms of matrices, numerical range, applications of functional analysis to matrix theory, linear interpolation problem, Discrete Mathematics and Combinatorics, Linear interpolation problem, H-matrices, Hermitian, skew-Hermitian, and related matrices, Geometry and Topology, \(P\)-matrices, 0101 mathematics, P-matrices, Linear operator methods in interpolation, moment and extension problems

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/pii/S0024379501002555

On an operator approach to interpolation problems for Stieltjes functions

Autoren: Vladimir Bolotnikov Lev A. Sakhnovich

Quelle: Integral Equations and Operator Theory. 35:423-470

Schlagwörter: operator-valued analytical functions, Stieltjes class, fundamental matrix inequalities, integral representations, operator-valued Stieltjes functions, moment problem, Linear operator inequalities, 0101 mathematics, Moment problems and interpolation problems in the complex plane, interpolation problems, Linear operator methods in interpolation, moment and extension problems, 01 natural sciences, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones)

Dateibeschreibung: application/xml

Zugangs-URL: http://www.math.wm.edu/~vladi/bs.pdf
https://link.springer.com/content/pdf/10.1007/BF01228042.pdf
https://link.springer.com/article/10.1007/BF01228042

The extension theory of Hermitian operators and the moment problem

Autoren: Vladimir Derkach Mark Malamud

Quelle: Journal of Mathematical Sciences. 73:141-242

Schlagwörter: extension theory, nondensely defined Hermitian operator, Weyl function, truncated Hamburger, Stieltjes and Hausdorff moment problems, \(R\)-function, 01 natural sciences, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), Linear symmetric and selfadjoint operators (unbounded), generalized resolvents, preresolvent, resolvent matrix of a Hermitian operator, Dilations, extensions, compressions of linear operators, 0101 mathematics, Linear operator methods in interpolation, moment and extension problems, resolvent matrices, holomorphic operator-valued function

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/859204
https://doi.org/10.1007/bf02367240
https://link.springer.com/article/10.1007/BF02367240

Moment Problems for Multi-sequences of Operators: Moment problems for multi-sequences of operators

Autoren: Florian-Horia Vasilescu

Quelle: Journal of Mathematical Analysis and Applications. 219:246-259

Schlagwörter: commuting multioperators, Moment problems, Applied Mathematics, 0101 mathematics, moment sequences, Linear operator methods in interpolation, moment and extension problems, polynomials in several variables, subnormality, 01 natural sciences, Analysis

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1215734
https://doi.org/10.1006/jmaa.1997.5787
https://www.sciencedirect.com/science/article/abs/pii/S0022247X97957875
https://core.ac.uk/display/82737899
https://www.sciencedirect.com/science/article/pii/S0022247X97957875

Nearly Subnormal Operators and Moment Problems: Nearly subnormal operators and moment problems

Autoren: Raúl E. Curto Mihai Putinar

Quelle: Journal of Functional Analysis. 115:480-497

Schlagwörter: separation-of-cones techniques, multivariable operator theory, polynomial hyponormality does not imply subnormality, 0101 mathematics, Subnormal operators, hyponormal operators, etc, Linear operator methods in interpolation, moment and extension problems, 01 natural sciences, Analysis, theory of power moments in two main dimensions

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/515240
https://doi.org/10.1006/jfan.1993.1101
https://core.ac.uk/display/82655595
https://www.sciencedirect.com/science/article/pii/S0022123683711018

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

Autoren: Yuriy M. Dyukarev Bernd Fritzsche Conrad Mädler et al.

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

On an Extension Problem for Contractive Block Hankel Operator Matrices: On an extension problem for contractive block Hankel operator matrices

Autoren: Jürgen Lorenz Bernd Fritzsche Bernd Hirstein

Quelle: Analysis. 25:23-54

Schlagwörter: block Hankel operator, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Adamjan-Arov-Krein theory, Dilations, extensions, compressions of linear operators, Schur problem, 0101 mathematics, Linear operator methods in interpolation, moment and extension problems, Nehari problem, 01 natural sciences, Moore-Penrose inverse

Dateibeschreibung: application/xml

Zugangs-URL: https://www.degruyter.com/view/j/anly.2005.25.issue-1/anly-2005-0102/anly-2005-0102.xml

On the multiple Nevanlinna–Pick interpolation problems in some matrix-valued function classes: On the multiple Nevanlinna--Pick interpolation problems in some matrix-valued function classes

Autoren: Huazhang Wu

Quelle: Linear Algebra and its Applications. 399:71-90

Schlagwörter: Stieltjes class, Numerical Analysis, Algebra and Number Theory, Nevanlinna–Pick problem, Carathéodory-Fejér problem, Carathéodory–Fejer problem, Moment problems and interpolation problems in the complex plane, 01 natural sciences, Moment problem, Nevanlinna class, Toeplitz block-vector, Hankel block-vector, Discrete Mathematics and Combinatorics, moment problem, Geometry and Topology, 0101 mathematics, Carathéodory class, Nevanlinna-Pick problem, Linear operator methods in interpolation, moment and extension problems

Dateibeschreibung: application/xml

Zugangs-URL: https://core.ac.uk/display/82045809
https://www.sciencedirect.com/science/article/pii/S0024379504002885
https://www.sciencedirect.com/science/article/abs/pii/S0024379504002885

A multiplier theorem using the Schechter's method of interpolation: A multiplier theorem using the Schechter's method of interpolation.

Autoren: María J. Carro

Quelle: Journal of Approximation Theory. 120:283-295

Schlagwörter: Mathematics(all), Numerical Analysis, Applied Mathematics, Schechter method, multiplier, endpoint estimates, Endpoint estimates, Multipliers in one variable harmonic analysis, 01 natural sciences, interpolation, Interpolation, Schechter's method, 0101 mathematics, Linear operator methods in interpolation, moment and extension problems, Multiplier, Analytic family of operators, Analysis, analytic family of operators

Dateibeschreibung: application/xml

Zugangs-URL: https://dblp.uni-trier.de/db/journals/jat/jat120.html#Carro03
https://dialnet.unirioja.es/servlet/articulo?codigo=317512
https://www.sciencedirect.com/science/article/pii/S0021904502000369
https://www.sciencedirect.com/science/article/abs/pii/S0021904502000369

Tangential interpolation problems for a class of automorphic matrix-functions

Autoren: A.A. Nudel’man Miron B. Bekker

Quelle: Linear Algebra and its Applications. 397:171-184

Schlagwörter: linear fractional transformation, Nevanlinna--Pick problem, Numerical Analysis, Algebra and Number Theory, Interpolation problem, interpolation problem, Linear fractional transformation, Automorphic function, 01 natural sciences, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), automorphic function, \((A,B,C)\)-problem, Nevanlinna class, Discrete Mathematics and Combinatorics, Geometry and Topology, 0101 mathematics, Linear operator methods in interpolation, moment and extension problems

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/abs/pii/S0024379504004471
https://core.ac.uk/display/82682401
https://www.sciencedirect.com/science/article/pii/S0024379504004471