Convolution-factorable multilinear operators

Authors: ERDOĞAN, EZGİ

Contributors: ERDOĞAN E.

Source: Revista de la Unión Matemática Argentina. :103-117

Subject Terms: Matematik, polynomials, General Mathematics, Temel Bilimler (SCI), zero product preserving map, integral representation, 01 natural sciences, MATHEMATICS, Genel Matematik, Fizik Bilimleri, factorization, factorisation, Natural Sciences (SCI), Physical Sciences, Multilinear and polynomial operators, Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, convolution, Multilinear operators, Hilbert-Schmidt operators, 0101 mathematics, zero product pre-serving map, multilinear operators

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Access URL: https://hdl.handle.net/11424/293276
https://avesis.marmara.edu.tr/api/publication/c473a859-97f0-4b25-aca2-d6daa574c76e/file

Factorization of functions in the Schur-Agler class related to test functions

Authors: Bhowmik, M, Kumar, P

Source: Proceedings of the American Mathematical Society.

Subject Terms: 47A48, 47A68, 47A56, 32A38, test functions, 01 natural sciences, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), Functional Analysis (math.FA), Mathematics - Functional Analysis, Schur-Agler class, Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc, factorization, Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, FOS: Mathematics, realization formula, colligation, extreme points, 0101 mathematics, Mathematics, Algebras of holomorphic functions of several complex variables

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Access URL: http://arxiv.org/abs/2404.05109

Factorization of moving-average spectral densities by state-space representations and stacking

Authors: Lei M. Li

Source: Journal of Multivariate Analysis. 96:425-438

Subject Terms: Spectral factorization, Statistics and Probability, Numerical Analysis, Computational problems in statistics, Algebraic Riccati equation, 02 engineering and technology, 01 natural sciences, Stacking, Moving average, Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, 0202 electrical engineering, electronic engineering, information engineering, Minimal systems representations, Inference from stochastic processes and spectral analysis, Statistics, Probability and Uncertainty, 0101 mathematics, State space

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https://dl.acm.org/doi/10.1016/j.jmva.2004.12.003
https://core.ac.uk/display/82622473
https://www.sciencedirect.com/science/article/pii/S0047259X04002325
https://www.sciencedirect.com/science/article/pii/S0047259X04002325#!

J-spectral factorization of regular para-Hermitian transfer matrices: \(J\)-spectral factorization of regular para-Hermitian transfer matrices

Authors: Qing-Chang Zhong

Source: Automatica. 41:1289-1293

Subject Terms: para-Hermitian transfer matrix, 0209 industrial biotechnology, 0203 mechanical engineering, \(J\)-spectral factorization, Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, \(H^\infty\)-control, System structure simplification, 02 engineering and technology, algebraic Riccati equation, simultaneous triangularization, \(H_{\infty}\) control

File Description: application/xml

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https://mypages.iit.edu/~qzhong2/BD_Jfactor_slides_ISS0305.pdf
https://www.sheffield.ac.uk/polopoly_fs/1.323764!/file/Automatica0507.pdf
https://dblp.uni-trier.de/db/journals/automatica/automatica41.html#Zhong05

Zero cancellation

Authors: Dym, Harry, Nevo, Shahar

Source: Linear Algebra and its Applications. 404:1-26

Subject Terms: Numerical Analysis, Smith–McMillan forms, Algebra and Number Theory, Pole cancellation, \(J\)-inner matrix valued functions, Applications of operator theory in chemistry and life sciences, Smith-McMillan forms, J-lossless conjugators, 0102 computer and information sciences, Moment problems and interpolation problems in the complex plane, 01 natural sciences, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), \(J\)-lossless conjugators, Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, Zero cancellation, Discrete Mathematics and Combinatorics, Geometry and Topology, 0101 mathematics, Stability, Riccati equations, J-inner matrix valued functions, Eigenvalue problems

File Description: application/xml

Access URL: https://zbmath.org/2189370
https://doi.org/10.1016/j.laa.2005.02.015

Pole cancellation

Authors: Dym, Harry, Nevo, Shahar

Source: Linear Algebra and its Applications. 404:27-57

Subject Terms: pole cancellation, Numerical Analysis, Smith–McMillan forms, \(J\)-inner function, Algebra and Number Theory, Pole cancellation, reproducing kernel, J-lossless conjugators, stability, Moment problems and interpolation problems in the complex plane, Applications of operator theory in systems, signals, circuits, and control theory, Reproducing kernels, 01 natural sciences, Riccati equation, Smith-McMillan form, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, Discrete Mathematics and Combinatorics, linear system, Geometry and Topology, 0101 mathematics, Stability, Riccati equations, J-inner matrix valued functions, Eigenvalue problems

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Access URL: https://zbmath.org/2189371
https://doi.org/10.1016/j.laa.2005.02.014

Outer factorizations in one and several variables

Authors: Michael A. Dritschel, Hugo J. Woerdeman

Source: Transactions of the American Mathematical Society. 357:4661-4679

Subject Terms: Fejer-Riesz theorem, Trigonometric polynomials, inequalities, extremal problems, Schur complements, one variable and multivariable outer factorization, 01 natural sciences, Functional Analysis (math.FA), Mathematics - Functional Analysis, Positive matrices and their generalizations, cones of matrices, 47A68, 47B35, Optimization and Control (math.OC), Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, Toeplitz operators, Hankel operators, Wiener-Hopf operators, FOS: Mathematics, 0101 mathematics, Mathematics - Optimization and Control

File Description: application/xml

Access URL: https://www.ams.org/tran/2005-357-11/S0002-9947-05-03814-6/S0002-9947-05-03814-6.pdf
http://arxiv.org/abs/math/0403099
https://www.ams.org/journals/tran/2005-357-11/S0002-9947-05-03814-6/home.html
https://dialnet.unirioja.es/servlet/articulo?codigo=2204498
https://www.ams.org/tran/2005-357-11/S0002-9947-05-03814-6/S0002-9947-05-03814-6.pdf

On factorization of Hilbert–Schmidt mappings: On factorization of Hilbert--Schmidt mappings

Authors: Cristiane de Andrade Mendes

Source: Journal of Mathematical Analysis and Applications. 304:137-146

Subject Terms: holomorphic mappings, homogeneous polynomials, (Spaces of) multilinear mappings, polynomials, Applied Mathematics, Multilinear and polynomial operators, Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, Hilbert-Schmidt mappings, 0101 mathematics, Infinite-dimensional holomorphy, 01 natural sciences, Analysis

File Description: application/xml

Access URL: https://zbmath.org/2157558
https://doi.org/10.1016/j.jmaa.2004.09.008
https://core.ac.uk/display/82236612
https://www.sciencedirect.com/science/article/pii/S0022247X04007449
https://ui.adsabs.harvard.edu/abs/2005JMAA..304..137M/abstract
https://www.ime.unicamp.br/rel_pesq/2003/ps/rp51-03.pdf
https://www.sciencedirect.com/science/article/abs/pii/S0022247X04007449

Approximating sums of squares with a single square

Authors: Hugo J. Woerdeman, Yvan Hachez

Source: Linear Algebra and its Applications. 399:187-201

Subject Terms: Spectral factorization, Numerical Analysis, Outer component, Sums of squares, Algebra and Number Theory, Fourier series and coefficients in several variables, \(H^\infty\)-control, multivariable trigonometric polynomials, semidefinite programming, 16. Peace & justice, 01 natural sciences, Multivariable trigonometric polynomial, sums of squares, Positive matrices and their generalizations, cones of matrices, outer component, Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, Discrete Mathematics and Combinatorics, Semidefinite programming, Geometry and Topology, spectral factorization, 0101 mathematics

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/pii/S0024379504004458
https://core.ac.uk/display/82782907

Nonparametric estimation for normalized coprime factors of a MIMO system

Authors: Tong Zhou

Source: Automatica. 41:655-662

Subject Terms: Maximum likelihood estimate, Normalized coprime factorization, Closed-loop identification, 0209 industrial biotechnology, Estimation and detection in stochastic control theory, 0203 mechanical engineering, Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, Robust control, 02 engineering and technology, MIMO system

File Description: application/xml

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https://doi.org/10.1016/j.automatica.2004.10.014
http://www.sciencedirect.com/science/article/pii/S0005109804003127
https://www.sciencedirect.com/science/article/pii/S0005109804003127
https://dblp.uni-trier.de/db/journals/automatica/automatica41.html#Zhou05

Schur complements and state space realizations

Authors: Harm Bart, Israel Gohberg, André C. M. Ran, Marinus A. Kaashoek

Source: Linear Algebra and its Applications. 399:203-224

Subject Terms: EUR ESE 17, 0209 industrial biotechnology, SDG 16 - Peace, realization, equivalence, 02 engineering and technology, Equivalence, 01 natural sciences, Factorization of matrices, Extension, Operator means involving linear operators, shorted linear operators, etc, factorization, Discrete Mathematics and Combinatorics, Dilations, extensions, compressions of linear operators, Factorization, 0101 mathematics, Numerical Analysis, Algebra and Number Theory, Transfer function, extension, Justice and Strong Institutions, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), Realization, Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, transfer function, Schur complement, Geometry and Topology

File Description: application/xml

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https://doi.org/10.1016/j.laa.2004.10.027
https://hdl.handle.net/1871/30759
https://www.sciencedirect.com/science/article/pii/S0024379504004641#!
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https://www.narcis.nl/publication/RecordID/oai%3Aresearch.vu.nl%3Apublications%2F69b77b28-e9bb-4d42-997d-7f428fa148d2
https://repub.eur.nl/pub/61927
https://www.sciencedirect.com/science/article/abs/pii/S0024379504004641
https://research.vu.nl/en/publications/schur-complements-and-state-space-realizations

The modified Helmholtz equation in a semi-strip

Authors: Yuri A. Antipov, A. S. Fokas

Source: Mathematical Proceedings of the Cambridge Philosophical Society. 138:339-365

Subject Terms: Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Applications of operator theory to differential and integral equations, Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, 0101 mathematics, Antennas, waveguides in optics and electromagnetic theory, 01 natural sciences

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Access URL: http://www.journals.cambridge.org/production/action/cjoGetFulltext?fulltextid=283537
https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/div-classtitlethe-modified-helmholtz-equation-in-a-semi-stripdiv/60F72B29B0FCEFE8FB582B11403F6168
https://www.math.lsu.edu/%7Eantipov/Camb2005.pdf
http://ui.adsabs.harvard.edu/abs/2005MPCPS.138..339A/abstract

Characterization of integral operators with semi-separable kernels with symmetries

Authors: André C. M. Ran, M.A. Petersen, G. J. Groenewald

Source: Journal of Functional Analysis. 219:255-284

Subject Terms: Integral operators, SDG 16 - Peace, Positive real integral operators, J-unitary integral operators, Matrix equations and identities, Semi-separable kernels, Positive linear operators and order-bounded operators, Contractive integral operators, Linear accretive operators, dissipative operators, etc, dissipative integral operators, 01 natural sciences, Justice and Strong Institutions, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), semi-separable kernels, positive integral operators, Self-adjoint integral operators, Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, \(J\)-unitary integral operators, contractive integral operators, Dissipative integral operators, positive real integral operators, self-adjoint integral operators, 0101 mathematics, Analysis, Positive integral operators

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Access URL: https://zbmath.org/2141627
https://doi.org/10.1016/j.jfa.2004.05.008
https://core.ac.uk/display/82765420
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https://www.sciencedirect.com/science/article/pii/S0022123604002174
https://research.vu.nl/en/publications/characterization-of-integral-operators-with-semi-separable-kernel

Inner-outer factorization of operator-valued functions on ordered groups

Authors: Dan Timotin, Mihály Bakonyi

Source: Studia Mathematica. 169:295-303

Subject Terms: inner-outer factorisation, ordered groups, Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, operator-valued functions, semigroups of isometries, matrix-valued functions, multivariate prediction theory, 0101 mathematics, 01 natural sciences, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones)

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https://zbmath.org/2159590
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https://www.impan.pl/shop/publication/transaction/download/product/90345?download.pdf
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/169/3/90345/inner-outer-factorization-of-operator-valued-functions-on-ordered-groups
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https://eudml.org/doc/284604

Solution of a matrix Wiener-Hopf equation connected with the plane wave diffraction by an impedance loaded parallel plate waveguide

Authors: Gökhan Cinar, Alinur Büyükaksoy

Source: Mathematical Methods in the Applied Sciences. 28:1633-1645

Subject Terms: Integral operators, matrix Wiener-Hopf factorization, Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, diffraction, Fourier integrals, waveguide, Helmholtz equation, 0101 mathematics, 01 natural sciences, Diffraction, scattering

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https://doi.org/10.1002/mma.625
http://ui.adsabs.harvard.edu/abs/2005MMAS...28.1633B/abstract
https://onlinelibrary.wiley.com/doi/10.1002/mma.625

Integrable factors in compact Schur multipliers

Authors: Mats Erik Andersson

Source: Proceedings of the American Mathematical Society. 133:1469-1473

Subject Terms: multiplier space, Hankel matrices, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, Linear operators defined by compactness properties, Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.), Schur product, 0101 mathematics, 01 natural sciences

File Description: application/xml

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https://www.jstor.org/stable/4097803
https://www.ams.org/journals/proc/2005-133-05/S0002-9939-04-07670-1/home.html
https://dialnet.unirioja.es/servlet/articulo?codigo=1168687
https://www.ams.org/proc/2005-133-05/S0002-9939-04-07670-1/S0002-9939-04-07670-1.pdf

CONTINUITY OF THE SPECTRAL FACTORIZATION MAPPING: Continuity of the spectral factorization mapping

Authors: Steven Barclay

Source: Journal of the London Mathematical Society. 70:763-779

Subject Terms: Spaces of vector- and operator-valued functions, Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, Matrix spectral factorization, 01 natural sciences, \(H^p\)-classes

File Description: application/xml

Access URL: https://zbmath.org/2144151
https://doi.org/10.1112/s0024610704005575
https://www.cambridge.org/core/journals/journal-of-the-london-mathematical-society/article/continuity-of-the-spectral-factorization-mapping/4BB197B802CE3DF5C0794D062C674059
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024610704005575
https://dialnet.unirioja.es/servlet/articulo?codigo=2206147

Decoupling of Proper Transfer Functions: Decoupling of proper transfer functions

Authors: Nir Cohen

Source: Integral Equations and Operator Theory. 50:317-332

Subject Terms: decoupling, linear fractional transformation, 0209 industrial biotechnology, Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc, Linear systems in control theory, Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, state space, transfer function, 02 engineering and technology, 0101 mathematics, 01 natural sciences, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), multiport

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007%2Fs00020-003-1328-7

Identification of normalized coprime factors through constrained curve fitting

Authors: Hua-Wei Xing, Tong Zhou

Source: Automatica. 40:1591-1601

Subject Terms: 0209 industrial biotechnology, Estimation and detection in stochastic control theory, 0203 mechanical engineering, asymptotic normality, Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, curve fitting, 02 engineering and technology, robust control

File Description: application/xml

Access URL: https://zbmath.org/2105953
https://doi.org/10.1016/j.automatica.2004.04.005
https://www.sciencedirect.com/science/article/pii/S0005109804001232
https://dblp.uni-trier.de/db/journals/automatica/automatica40.html#ZhouX04
http://www.sciencedirect.com/science/article/pii/S0005109804001232

Factorization of injective ideals by interpolation

Authors: Braunß, Hans-Andreas, Junek, Heinz

Source: Journal of Mathematical Analysis and Applications. 297:740-750

Subject Terms: Applied Mathematics, Infinite holomorphy, Institut für Mathematik, interpolation space, Infinite-dimensional holomorphy, 01 natural sciences, Operator ideals, factorisation, Forms (bilinear, sesquilinear, multilinear), Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, multilinear mappings, Factorization, infinite holomorphy, 0101 mathematics, Multilinear mappings, duality theorem, Analysis, operator ideals

File Description: application/xml

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https://doi.org/10.1016/j.jmaa.2004.04.045
https://www.sciencedirect.com/science/article/abs/pii/S0022247X04003762
https://core.ac.uk/display/82287244
https://www.sciencedirect.com/science/article/pii/S0022247X04003762
https://publishup.uni-potsdam.de/frontdoor/index/index/docId/14199