Výsledky vyhledávání - 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

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

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

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

Autoři: Alpay, Daniel Bruinsma, Piet Dijksma, Aad a další

Zdroj: Operator Theory: Advances and Applications ISBN: 9783034856744

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

The extension theory of Hermitian operators and the moment problem

Autoři: Vladimir Derkach Mark Malamud

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

Témata: 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

Popis souboru: application/xml

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

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

Autoři: Jürgen Lorenz Bernd Fritzsche Bernd Hirstein

Zdroj: Analysis. 25:23-54

Témata: 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

Popis souboru: application/xml

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

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

Autoři: Marinus A. Kaashoek Chris Zeinstra

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Gong-Ning Chen Yong-Jian Hu

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

On some issues related to the moment problem for the band matrices with operator elements: On some issues related to the moment problem for the band matrices with operator elements.

Autoři: Andrei Osipov

Zdroj: Journal of Mathematical Analysis and Applications. 275:657-675

Témata: Moment problems, Applied Mathematics, Jacobi (tridiagonal) operators (matrices) and generalizations, Hermite-Padé approximation, moment problem, inverse spectral problem, band matrix, 0101 mathematics, Stone theorem, Linear operator methods in interpolation, moment and extension problems, 01 natural sciences, Analysis

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1866707
https://doi.org/10.1016/s0022-247x(02)00372-4
https://www.sciencedirect.com/science/article/pii/S0022247X02003724

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

Autoři: Jabłoński, Zenon Stochel, Jan

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Vladimir Derkach

Zdroj: Mathematische Nachrichten. 184:135-166

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Charles R. Johnson Ronald L. Smith

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0024379501002555

The Classical Moment Problem as a Self-Adjoint Finite Difference Operator: The classical moment problem as a self-adjoint finite difference operator

Autoři: Simon, Barry

Zdroj: Advances in Mathematics. 137:82-203

Témata: Mathematics(all), convergence, self-adjoint finite difference operator, FOS: Physical sciences, Mathematical Physics (math-ph), Hamburger series, 01 natural sciences, Hamburger moment problem, Moment problems, Padé approximants, Nevanlinna functions, Stieltjes moment problem, Difference operators, 0101 mathematics, Linear operator methods in interpolation, moment and extension problems, Padé approximation, Mathematical Physics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/math-ph/9906008
https://zbmath.org/1215527
https://doi.org/10.1006/aima.1998.1728
https://ui.adsabs.harvard.edu/abs/1999math.ph...6008S/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0001870898917285
https://www.sciencedirect.com/science/article/pii/S0001870898917285#!
https://core.ac.uk/display/81977823
https://www.sciencedirect.com/science/article/pii/S0001870898917285

On degenerate Hamburger moment problem and extensions of nonnegative Hankel block matrices

Autoři: Vladimir Bolotnikov

Zdroj: Integral Equations and Operator Theory. 25:253-276

Témata: linear fractional transformation, singular finite Hankel block-matrix, nonnegative Hankel extension, 0101 mathematics, Moment problems and interpolation problems in the complex plane, Linear operator methods in interpolation, moment and extension problems, 01 natural sciences, degenerate truncated matrix Hamburger moment problem, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/913940
https://doi.org/10.1007/bf01262294
https://link.springer.com/article/10.1007/BF01262294

On an operator approach to interpolation problems for Stieltjes functions

Autoři: Vladimir Bolotnikov Lev A. Sakhnovich

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

Témata: 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)

Popis souboru: application/xml

Přístupová URL adresa: 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

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

Autoři: Florian-Horia Vasilescu

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

On the solution of Nevanlinna Pick problem with selfadjoint extensions of symmetric linear relations in Hilbert space

Autoři: A. A. El-Sabbagh

Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 20, Iss 3, Pp 457-464 (1997)

Témata: Hilbert space, operators, minimal selfadjoint extensions of symmetric linear relations, 01 natural sciences, resolvent matrix, compressed resolvent, selfadjont extensions and Nevanlinna pick problem, QA1-939, Dilations, extensions, compressions of linear operators, 0101 mathematics, symmetric linear relations, Linear operator methods in interpolation, moment and extension problems, Mathematics, Nevanlinna Pick Problem

Popis souboru: application/xml

Přístupová URL adresa: http://downloads.hindawi.com/journals/ijmms/1997/949287.pdf
https://doaj.org/article/1d998476b79a43a0bd2f06ebb30bc70a
https://www.hindawi.com/journals/ijmms/1997/949287/
http://downloads.hindawi.com/journals/ijmms/1997/949287.pdf
https://downloads.hindawi.com/journals/ijmms/1997/949287.pdf

A Difference Equation Arising from the Trigonometric Moment Problem Having Random Reflection Coefficients - An Operator Theoretic Approach: A difference equation arising from the trigonometric moment problem having random reflection coefficients -- an operator theoretic approach

Autoři: J.S. Geronimo Alexander Teplyaev

Zdroj: Journal of Functional Analysis. 123:12-45

Témata: polynomials orthogonal on the unit circle and their doubly infinite analogs, Lyapunov exponents, Linear difference operators, difference equation, trigonometric moment problem having random reflection coefficients, absolutely continuous components of the spectrum, Spectrum, resolvent, 0101 mathematics, Linear operator methods in interpolation, moment and extension problems, 01 natural sciences, Additive difference equations, Analysis, spectrum

Popis souboru: application/xml

Přístupová URL adresa: https://core.ac.uk/display/82056112
http://www.sciencedirect.com/science/article/pii/S0022123684710810
https://www.sciencedirect.com/science/article/pii/S0022123684710810