Search Results - "Structure theory of linear operators"

Common reducing subspaces and decompositions of contractions

Authors: Pal, Sourav

Source: Forum Mathematicum. 0

Subject Terms: Structure theory of linear operators, canonical decomposition, Invariant subspaces of linear operators, Mathematics - Operator Algebras, common reducing subspace, Canonical models for contractions and nonselfadjoint linear operators, von Neumann-Wold decomposition, 01 natural sciences, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), Functional Analysis (math.FA), Spectral sets of linear operators, Mathematics - Functional Analysis, FOS: Mathematics, 0101 mathematics, Operator Algebras (math.OA)

File Description: application/xml

Access URL: http://arxiv.org/abs/2202.01301

Asymptotic behaviours and generalized Toeplitz operators

Authors: Nicolae Suciu Laurian Suciu

Source: Journal of Mathematical Analysis and Applications. 349:280-290

Subject Terms: Structure theory of linear operators, ρ-contraction, Invariant subspaces of linear operators, generalized Toeplitz operator, Applied Mathematics, orthogonal projection, A-contraction, 01 natural sciences, invariant subspace, orthogonally mean ergodic operator, Toeplitz operators, Hankel operators, Wiener-Hopf operators, \(A\)-contraction, Dilations, extensions, compressions of linear operators, Generalized Toeplitz operator, 0101 mathematics, Orthogonally mean ergodic operator, \(\rho\)-contraction, Analysis

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Access URL: https://zbmath.org/5362153
https://doi.org/10.1016/j.jmaa.2008.08.028
https://core.ac.uk/display/82237323
https://www.sciencedirect.com/science/article/pii/S0022247X08007993

Separating vectors for operators

Authors: Han, D. Larson, D. Pan, Z. et al.

Source: Proceedings of the American Mathematical Society. 135:713-723

Subject Terms: Structure theory of linear operators, Extension of operators, triangular operator, domain, separating vector, Integral domain, operator extension, 16. Peace & justice, Special classes of linear operators, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, REFLEXIVITY, EXTENSIONS, Applied, extension of operators, Separating vector, Spectrum, resolvent, integral, ALGEBRAS, Mathematics, integral domain, Triangular operator

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Access URL: https://www.ams.org/proc/2007-135-03/S0002-9939-06-08486-3/S0002-9939-06-08486-3.pdf
https://zbmath.org/5120278
https://doi.org/10.1090/s0002-9939-06-08486-3
https://www.ams.org/journals/proc/2007-135-03/S0002-9939-06-08486-3/home.html
https://ams.org/journals/proc/2007-135-03/S0002-9939-06-08486-3/S0002-9939-06-08486-3.pdf
https://www.jstor.org/stable/20534625

Beyond hyperinvariance for compact operators

Authors: Srdjan Petrovic Alan Lambert

Source: Journal of Functional Analysis. 219:93-108

Subject Terms: Structure theory of linear operators, Invariant subspaces of linear operators, separable Hilbert space, 01 natural sciences, Invariant subspace, Compact operators, invariant subspace, Quasi-nilpotent operators, Spectral algebras, Linear operators on function spaces (general), quasinilpotent operators, Transformers, preservers (linear operators on spaces of linear operators), spectral algebras, 0101 mathematics, Analysis, compact operators

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Access URL: https://zbmath.org/2141618
https://doi.org/10.1016/j.jfa.2004.06.001
http://www.sciencedirect.com/science/article/pii/S0022123604001831
https://www.sciencedirect.com/science/article/pii/S0022123604001831
https://core.ac.uk/display/82332907
http://homepages.wmich.edu/%7Epetrovic/research/r17la.pdf

The Quasiapproximate $(\mathcal{U} + \mathcal{K})$ ?Invariants of Essentially Normal Operators: The quasiapproximate \((\mathcal U + \mathcal K)\)-invariants of essentially normal operators

Authors: Jue Xian Li You Qing Ji

Source: Integral Equations and Operator Theory. 50:255-278

Subject Terms: Linear operator approximation theory, Structure theory of linear operators, Hilbert space, Cowen-Douglas operator, quasiapproximate \((\mathcal U + \mathcal K)\)-equivalence, 01 natural sciences, General theory of linear operators, essentially normal operator, Bergmann operator, unilateral weighted operator, Hermitian and normal operators (spectral measures, functional calculus, etc.), Spectrum, resolvent, 0101 mathematics, Subnormal operators, hyponormal operators, etc

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Access URL: https://zbmath.org/2138206
https://doi.org/10.1007/s00020-003-1226-z
https://zbmath.org/1789723
https://link.springer.com/article/10.1007/s00020-003-1226-z

Power boundedness and similarity to contractions for some perturbations of isometries

Authors: Dan Timotin Gilles Cassier

Source: Journal of Mathematical Analysis and Applications. 293:160-180

Subject Terms: Structure theory of linear operators, power boundedness, Applied Mathematics, Blaschke products, etc, 0101 mathematics, perturbations of isometries, similarity to contractions, 01 natural sciences, \(H^p\)-classes, Analysis, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.), Real rational functions

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Access URL: https://zbmath.org/2082135
https://doi.org/10.1016/j.jmaa.2003.12.020
https://core.ac.uk/display/82362463
https://www.sciencedirect.com/science/article/pii/S0022247X04000368

On Factorization of Trigonometric Polynomials: On factorization of trigonometric polynomials

Authors: Dritschel MA

Source: Integral Equations and Operator Theory. 49:11-42

Subject Terms: Structure theory of linear operators, Fejer-Riesz theorem, Trigonometric polynomials, inequalities, extremal problems, trigonometric polynomials, 02 engineering and technology, Cesàro means, 01 natural sciences, Factorization of matrices, Agler families, operator theory, factorization, Polynomials and rational functions of one complex variable, Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, 0202 electrical engineering, electronic engineering, information engineering, Schur complement, 0101 mathematics, linear matrix inequalities, multivariate polynomials

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Access URL: https://zbmath.org/2111520
https://doi.org/10.1007/s00020-002-1198-4
https://link.springer.com/article/10.1007/s00020-002-1198-4
https://eprints.ncl.ac.uk/69700

Hereditary properties of spectral isometries

Authors: Mathieu, Martin Sourour, A.R.

Source: Archiv der Mathematik. 82:222-229

Subject Terms: Linear operators on Banach algebras, Structure theory of linear operators, name=General Mathematics, General theory of \(C^*\)-algebras, type I von Neumann algebras, Jordan structures on Banach spaces and algebras, 0101 mathematics, Nonassociative selfadjoint operator algebras, 01 natural sciences, spectral isometries

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Access URL: https://link.springer.com/article/10.1007/s00013-003-0595-5
https://core.ac.uk/display/10057899
https://link.springer.com/content/pdf/10.1007/s00013-003-0595-5
https://pure.qub.ac.uk/en/publications/hereditary-properties-of-spectral-isometries

On the Decomposition of an Operator into a Sum of Four Idempotents: On the decomposition of an operator into a sum of four idempotents

Authors: V. I. Rabanovych

Source: Ukrainian Mathematical Journal. 56:512-519

Subject Terms: Structure theory of linear operators, idempotent operator, Linear operators defined by compactness properties, compact operator, 0101 mathematics, separable Hilbert space, 01 natural sciences

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Access URL: https://zbmath.org/2210402
https://doi.org/10.1023/b:ukma.0000045693.23941.9a
https://link.springer.com/article/10.1023/B%3AUKMA.0000045693.23941.9a
https://link.springer.com/content/pdf/10.1023/B:UKMA.0000045693.23941.9a.pdf

Extensions of operators: Extensions of operators.

Authors: Han, D. Larson, D. Pan, Z. et al.

Source: Indiana University Mathematics Journal. 53:1151-1170

Subject Terms: Structure theory of linear operators, triangular operators, Kato spectrum, 01 natural sciences, Special classes of linear operators, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, REFLEXIVITY, Dilations, extensions, compressions of linear operators, extension spectrum, spectral mapping theorem, extension of operators, Spectrum, resolvent, 0101 mathematics, Mathematics

File Description: application/xml; application/pdf

Access URL: https://zbmath.org/2124622
https://doi.org/10.1512/iumj.2004.53.2450
https://documat.unirioja.es/servlet/articulo?codigo=1032263
https://www.math.tamu.edu/~larson/hlpw-final.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1032263

Spectrally bounded operators on simple 𝐶*-algebras: Spectrally bounded operators on simple \(C^{*}\)-algebras

Authors: Mathieu, Martin

Source: Proceedings of the American Mathematical Society. 132:443-446

Subject Terms: Structure theory of linear operators, Jordan structures on Banach spaces and algebras, 4. Education, name=Applied Mathematics, 01 natural sciences, purely infinite simple \(C^*\)-algebras, Linear operators on Banach algebras, name=General Mathematics, General theory of \(C^*\)-algebras, Jordan homomorphisms, spectrally bounded operators, 0101 mathematics

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Access URL: https://www.ams.org/proc/2004-132-02/S0002-9939-03-07215-0/S0002-9939-03-07215-0.pdf
https://zbmath.org/1998470
https://doi.org/10.1090/s0002-9939-03-07215-0
https://pure.qub.ac.uk/portal/en/publications/spectrally-bounded-operators-on-simple-calgebras(17d47821-82b4-426c-9e6f-b966efdd6d16)/export.html
https://www.ams.org/proc/2004-132-02/S0002-9939-03-07215-0/S0002-9939-03-07215-0.pdf
https://www.ams.org/journals/proc/2004-132-02/S0002-9939-03-07215-0/home.html

Stabilization of Timoshenko Beam by Means of Pointwise Controls: Stabilization of Timoshenko beam by means of pointwise controls

Authors: Xu, GQ Yung, SP

Source: ESAIM: Control, Optimisation and Calculus of Variations. 9:579-600

Subject Terms: Control problems for functional-differential equations, Structure theory of linear operators, 0209 industrial biotechnology, Control/observation systems governed by partial differential equations, Control, switches and devices (''smart materials') in solid mechanics, 02 engineering and technology, Riesz Basis, Feedback control, Pointwise Feedback Control, Timoshenko beam, 01 natural sciences, Riesz basis, Generalized Eigenfunction System, Rods (beams, columns, shafts, arches, rings, etc.), 0101 mathematics, Timoshenko Beam, pointwise feedback control, generalized eigenfunction system

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Access URL: https://www.esaim-cocv.org/articles/cocv/pdf/2003/01/cocv02253.pdf
https://zbmath.org/1968598
https://doi.org/10.1051/cocv:2003028
http://archive.numdam.org/article/COCV_2003__9__579_0.pdf
https://www.esaim-cocv.org/articles/cocv/abs/2003/01/cocv02253/cocv02253.html
http://hub.hku.hk/handle/10722/156149
http://www.numdam.org/item/COCV_2003__9__579_0/
http://www.esaim-cocv.org/10.1051/cocv:2003028
http://www.numdam.org/item?id=COCV_2003__9__579_0
http://hdl.handle.net/10722/156149

Spectrally bounded traces on C*-algebras: Spectrally bounded traces on \(C^ *\)-algebras.

Authors: Mathieu, Martin

Source: Bulletin of the Australian Mathematical Society. 68:169-173

Subject Terms: Structure theory of linear operators, Linear operators on Banach algebras, name=General Mathematics, General theory of \(C^*\)-algebras, traces, Spectrum, resolvent, 0101 mathematics, mappings on \(C^*\)-algebras, spectrally bounded mappings, 01 natural sciences

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Access URL: https://zbmath.org/2076609
https://doi.org/10.1017/s0004972700037527
https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/spectrally-bounded-traces-on-calgebras/D0C37BA633D94831BD155F4B8DFB3E2E
https://pure.qub.ac.uk/portal/en/publications/spectrally-bounded-traces-on-calgebras(ccc5d6c8-3860-43ae-83b7-feea6feabce9).html
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/D0C37BA633D94831BD155F4B8DFB3E2E/S0004972700037527a.pdf/div-class-title-spectrally-bounded-traces-on-span-class-italic-c-span-algebras-div.pdf

Similarity of a Triangular Operator to a Diagonal Operator: Similarity of a triangular operator to a diagonal operator

Authors: M. M. Malamud

Source: Journal of Mathematical Sciences. 115:2199-2222

Subject Terms: Structure theory of linear operators, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, Nagy-Foiaş criterion, dissipative operator, resolvent criterion, Linear operators on function spaces (general), 0101 mathematics, Gohberg and Krein criterion, similarity to a self-adjoint operator, 01 natural sciences

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Access URL: https://zbmath.org/1971369
https://doi.org/10.1023/a:1022888921572
https://link.springer.com/article/10.1023/A%3A1022888921572

similarity of a triangular operator to a diagonal operator: Similarity of a triangular operator to a diagonal operator

Authors: M. M. Malamud

Source: Journal of Mathematical Sciences. 115(2):2199-2222

Subject Terms: Structure theory of linear operators, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, Nagy-Foiaş criterion, dissipative operator, resolvent criterion, Linear operators on function spaces (general), Gohberg and Krein criterion, similarity to a self-adjoint operator

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Access URL: https://zbmath.org/1971369
https://doi.org/10.1023/a:1022888921572
https://link.springer.com/article/10.1023/A%3A1022888921572

NEW WAVELET BASES FOR NON-HOMOGENEOUS SYMBOLIC SPACE AND RELATED KERNEL-DISTRIBUTION SPACES: New wavelet bases for non-homogeneous symbolic space \(OpS_{1,1}^m\) and related kernel-distribution spaces

Authors: Qixiang Yang

Source: Chinese Annals of Mathematics. 23:551-562

Subject Terms: Structure theory of linear operators, symbolic space, Singular and oscillatory integrals (Calderón-Zygmund, etc.), singular integral operators, wavelet basis, 0101 mathematics, 01 natural sciences, kernel-distribution space, Representation theory of linear operators

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Access URL: https://zbmath.org/1877209
https://doi.org/10.1142/s0252959902000523
http://www.worldscientific.com/doi/abs/10.1142/S0252959902000523

Extended eigenvalues and the Volterra operator: Extended eigenvalues and the Volterra operator.

Authors: Srdjan Petrovic Alan Lambert Animikh Biswas

Source: Glasgow Mathematical Journal. 44:521-534

Subject Terms: Structure theory of linear operators, Integral operators, Volterra operator, extended eigenvalue, Transformers, preservers (linear operators on spaces of linear operators), 0101 mathematics, 01 natural sciences

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Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/15E05076D3849E20B3F1CF5FB58E95D1/S001708950203015Xa.pdf/div-class-title-extended-eigenvalues-and-the-volterra-operator-div.pdf
https://zbmath.org/1890774
https://www.cambridge.org/core/journals/glasgow-mathematical-journal/article/extended-eigenvalues-and-the-volterra-operator/15E05076D3849E20B3F1CF5FB58E95D1
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/15E05076D3849E20B3F1CF5FB58E95D1/S001708950203015Xa.pdf/div-class-title-extended-eigenvalues-and-the-volterra-operator-div.pdf
http://homepages.wmich.edu/%7Epetrovic/research/r15la.pdf

On a Question of Davidson and Paulsen: On a question of Davidson and Paulsen

Authors: Ricard, Éric Laboratoire de Mathématiques de Besançon (UMR 6623) (LMB) Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC) et al.

Contributors: Ricard, Éric Laboratoire de Mathématiques de Besançon (UMR 6623) (LMB) Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC) et al.

Source: Journal of Functional Analysis. 192:283-294

Subject Terms: Functional calculus for linear operators, Structure theory of linear operators, 0101 mathematics, [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA], Hankel matrices, similarity to contractions, 01 natural sciences, Analysis, Schur multipliers

File Description: application/xml

Access URL: https://zbmath.org/1797599
https://doi.org/10.1006/jfan.2001.3899
https://www.sciencedirect.com/science/article/pii/S0022123601938996

Some locally mean ergodic theorems

Authors: Kok-Keong Tan Ping Kwan Tam

Source: Studia Mathematica. 152:1-9

Subject Terms: Structure theory of linear operators, subnormal operator, boundedness stability property, compact operator, affine operators, 01 natural sciences, normal operator, spectrum, fixed point, 0101 mathematics, Subnormal operators, hyponormal operators, etc, mean ergodic theorem, Ergodic theory of linear operators, similar

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Access URL: https://www.impan.pl/shop/publication/transaction/download/product/89727?download.pdf
https://www.impan.pl/shop/publication/transaction/download/product/89727?download.pdf
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-sm152-1-1
https://eudml.org/doc/284689
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/152/1/89727/some-locally-mean-ergodic-theorems

Nilpotent operators similar to irreducible operators: Nilpotent operators similar to irreducible operators.

Authors: Chunlan Jiang Yongfa Yang Xianzhou Guo

Source: Science in China Series A: Mathematics. 44:1544-1557

Subject Terms: Structure theory of linear operators, finite-rank operator, nilpotent operator, 02 engineering and technology, 0101 mathematics, 0210 nano-technology, similarity, 01 natural sciences, irreducible operator

File Description: application/xml

Access URL: https://zbmath.org/1782070
https://doi.org/10.1007/bf02880794
https://ui.adsabs.harvard.edu/abs/2001ScChA..44.1544J/abstract
https://link.springer.com/article/10.1007/BF02880794