Search Results - Linear operator methods in interpolation, moment and extension problems
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1
Authors:
Source: Annals of Functional Analysis. 16
Subject Terms: 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
File Description: application/xml
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2
Authors: Dyukarev, Yury
Source: Linear Algebra and its Applications. 709:241-270
Subject Terms: 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
File Description: application/xml
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3
Authors:
Source: Mathematische Zeitschrift. 310
Subject Terms: 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
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4
Authors:
Source: Computational and Applied Mathematics. 44
Subject Terms: 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
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5
Authors: et al.
Source: Operator Theory: Advances and Applications ISBN: 9783034856744
Subject Terms: 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
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Access 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 -
6
Authors:
Source: Journal of Mathematical Sciences. 73:141-242
Subject Terms: 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
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7
Authors: et al.
Subject Terms: 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
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8
Authors:
Source: Analysis. 25:23-54
Subject Terms: 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
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9
Authors:
Source: Integral Equations and Operator Theory. 33:175-210
Subject Terms: 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
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Access 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 -
10
Authors:
Source: Linear Algebra and its Applications. 306:59-86
Subject Terms: 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
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11
Authors: Andrei Osipov
Source: Journal of Mathematical Analysis and Applications. 275:657-675
Subject Terms: 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
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12
Authors:
Source: Journal of the London Mathematical Society. 71:438-466
Subject Terms: 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
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Access 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 -
13
Authors: Vladimir Derkach
Source: Mathematische Nachrichten. 184:135-166
Subject Terms: 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
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14
Authors:
Source: Linear Algebra and its Applications. 330:43-48
Subject Terms: 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
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15
Authors: Simon, Barry
Source: Advances in Mathematics. 137:82-203
Subject Terms: 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
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Access URL: 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 -
16
Authors: Vladimir Bolotnikov
Source: Integral Equations and Operator Theory. 25:253-276
Subject Terms: 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.)
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17
Authors:
Source: Integral Equations and Operator Theory. 35:423-470
Subject Terms: 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)
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18
Authors: Florian-Horia Vasilescu
Source: Journal of Mathematical Analysis and Applications. 219:246-259
Subject Terms: 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
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19
Authors: A. A. El-Sabbagh
Source: International Journal of Mathematics and Mathematical Sciences, Vol 20, Iss 3, Pp 457-464 (1997)
Subject Terms: 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
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20
Authors:
Source: Journal of Functional Analysis. 123:12-45
Subject Terms: 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
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