Search Results - "Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators"

Parameterization of All Solutions of the Three Chains Completion Problem: Parametrization of all solutions of the three chains completion problem

Authors: Ciprian Foias Arthur E. Frazho Marinus A. Kaashoek et al.

Source: Metric Constrained Interpolation, Commutant Lifting and Systems ISBN: 9783034897754

Subject Terms: Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, 0101 mathematics, Moment problems and interpolation problems in the complex plane, 16. Peace & justice, Linear operator methods in interpolation, moment and extension problems, 01 natural sciences, suboptimal nonstationary Nehari problem, contractive upper triangular operators

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Access URL: https://zbmath.org/1113586
https://doi.org/10.1007/bf01193812
https://link.springer.com/chapter/10.1007/978-3-0348-8791-5_15
https://link.springer.com/content/pdf/10.1007/BF01193812.pdf
https://rd.springer.com/chapter/10.1007/978-3-0348-8791-5_15

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

Operators that admit a moment sequence

Authors: Ciprian Foias Il Bong Jung Eungil Ko et al.

Source: Israel Journal of Mathematics. 145:83-91

Subject Terms: bounded operator, Borel measure, Invariant subspaces of linear operators, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, Moment problems, Hilbert space, quasitriangular operator, 0101 mathematics, 01 natural sciences, General theory of linear operators

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Access URL: https://zbmath.org/2164535
https://doi.org/10.1007/bf02786685
https://dspace.ewha.ac.kr/handle/2015.oak/219572
https://link.springer.com/article/10.1007/BF02786685

The classes of local spectral theory

Authors: Gabriel T. Prǎjiturǎ

Source: Journal of Mathematical Analysis and Applications. 305:175-182

Subject Terms: Local spectral properties of linear operators, Closure, Applied Mathematics, interior, Spectral operators, decomposable operators, well-bounded operators, etc, closure, single-valued extension property, 01 natural sciences, Similarity, spectrum, Bishop's property, Interior, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, decomposition property, Spectrum, operator, Operator, 0101 mathematics, similarity, Analysis

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Access URL: https://zbmath.org/2159782
https://doi.org/10.1016/j.jmaa.2004.11.013
https://www.sciencedirect.com/science/article/abs/pii/S0022247X04009308
https://core.ac.uk/display/82592810
http://ui.adsabs.harvard.edu/abs/2005JMAA..305..175P/abstract
https://www.sciencedirect.com/science/article/pii/S0022247X04009308

Near Triangularizability Implies Triangularizability: Near triangularizability implies triangularizability

Authors: Bamdad R. Yahaghi

Source: Canadian Mathematical Bulletin. 47:298-313

Subject Terms: 0301 basic medicine, Invariant subspaces of linear operators, Linear transformations, semilinear transformations, reducibility, 16. Peace & justice, 01 natural sciences, Groups and semigroups of linear operators, 03 medical and health sciences, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, Algebras of operators on Banach spaces and other topological linear spaces, triangularizability, 0101 mathematics, invariant subspaces, linear transformations, compact operators

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Access URL: https://zbmath.org/2158200
https://doi.org/10.4153/cmb-2004-029-x
https://cms.math.ca/10.4153/CMB-2004-029-x
https://www.cambridge.org/core/journals/canadian-mathematical-bulletin/article/near-triangularizability-implies-triangularizability/F502B38EF7AB609E2DFA6E09D95DD59F

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

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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

Factorization of unbounded operators on Köthe spaces

Authors: Terzioğlu, Tosun Yurdakul, M. Zakharyuta, Vyacheslav

Source: Studia Mathematica. 161:61-70

Subject Terms: Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, Locally convex Fréchet spaces and (DF)-spaces, locally convex spaces, bounded factorization property, QA Mathematics, 0101 mathematics, quasidiagonal operators, 01 natural sciences, Sequence spaces (including Köthe sequence spaces), Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)

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Access URL: https://www.impan.pl/shop/publication/transaction/download/product/90197?download.pdf
https://zbmath.org/2092354
https://doi.org/10.4064/sm161-1-4
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/161/1/90197/factorization-of-unbounded-operators-on-kothe-spaces
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-sm161-1-4
https://research.sabanciuniv.edu/425/
https://eudml.org/doc/285189
https://www.impan.pl/shop/publication/transaction/download/product/90197?download.pdf
http://core.ac.uk/display/11738318

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

File Description: application/xml

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

On the Triangular Factorization of Isomorphisms: On the triangular factorization of isomorphisms

Authors: Mikhail I. Belishev

Source: Journal of Mathematical Sciences. 111:3639-3644

Subject Terms: Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, amplitude integral, Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, isomorphisms of Hilbert space, Spectrum, resolvent, 0101 mathematics, Applications of operator theory in systems, signals, circuits, and control theory, dynamical inverse problems, triangular factorization, 01 natural sciences

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Access URL: https://link.springer.com/article/10.1023/A:1016373507011

on the triangular factorization of isomorphisms: On the triangular factorization of isomorphisms

Authors: Mikhail I. Belishev

Source: Journal of Mathematical Sciences. 111(4):3639-3644

Subject Terms: Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, amplitude integral, Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, isomorphisms of Hilbert space, Spectrum, resolvent, Applications of operator theory in systems, signals, circuits, and control theory, dynamical inverse problems, triangular factorization

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Access URL: https://link.springer.com/article/10.1023/A:1016373507011

Triangular Toeplitz contractions and Cowen sets for analytic polynomials

Authors: Woo Young Lee Muneo Chō Raúl E. Curto

Source: Proceedings of the American Mathematical Society. 130:3597-3604

Subject Terms: hyponormal Toeplitz operators, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, spectral norm, reduced Cowen set for an analytic polynomial, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Hermitian, skew-Hermitian, and related matrices, strictly convex, Blaschke products, etc, 0101 mathematics, Subnormal operators, hyponormal operators, etc, triangular Toeplitz contractions, 01 natural sciences

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Access URL: https://www.ams.org/proc/2002-130-12/S0002-9939-02-06628-5/S0002-9939-02-06628-5.pdf
http://www.math.snu.ac.kr/~wylee/CCL.pdf
http://homepage.math.uiowa.edu/~rcurto/ttc.pdf
https://www.jstor.org/stable/1194401
https://www.ams.org/proc/2002-130-12/S0002-9939-02-06628-5/S0002-9939-02-06628-5.pdf
https://www.ams.org/journals/proc/2002-130-12/S0002-9939-02-06628-5/home.html
http://www.math.uiowa.edu/~rcurto/ttc.pdf

Herrero's Approximation Problem for Quasidiagonal Operators: Herrero's approximation problem for quasidiagonal operators

Authors: Nathanial P. Brown

Source: Journal of Functional Analysis. 186:360-365

Subject Terms: Linear operator approximation theory, quasidiagonal operator, 46L05, exact \(C^*\)-algebra, Mathematics - Operator Algebras, norm limits of block diagonal operators, separable Hilbert space, 01 natural sciences, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, blocks of bounded dimension, FOS: Mathematics, 0101 mathematics, Operator Algebras (math.OA), Analysis

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Access URL: http://arxiv.org/abs/math/0009059
https://zbmath.org/1703080
https://doi.org/10.1006/jfan.2001.3787
https://pennstate.pure.elsevier.com/en/publications/herreros-approximation-problem-for-quasidiagonal-operators
https://www.sciencedirect.com/science/article/pii/S0022123601937875
http://ui.adsabs.harvard.edu/abs/2000math......9059B/abstract
https://core.ac.uk/display/82621781

Linear preservers on upper triangular operator matrix algebras

Authors: Bingren Li Jianlian Cui Jinchuan Hou

Source: Linear Algebra and its Applications. 336:29-50

Subject Terms: Numerical Analysis, Automorphisms, Algebra and Number Theory, automorphisms, Abstract operator algebras on Hilbert spaces, Linear transformations, semilinear transformations, rank preserving maps, Rank preserving maps, 01 natural sciences, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, upper triangular matrix algebras, Discrete Mathematics and Combinatorics, Geometry and Topology, 0101 mathematics, Upper triangular matrix algebras, Topological algebras of operators, Jordan isomorphisms

File Description: application/xml

Access URL: https://zbmath.org/1702090
https://doi.org/10.1016/s0024-3795(01)00288-9
https://www.sciencedirect.com/science/article/pii/S0024379501002889
https://www.sciencedirect.com/science/article/abs/pii/S0024379501002889

The boundedness below of 2�2 upper triangular operator matrices: The boundedness below of \(2\times 2\) upper triangular operator matrices

Authors: In Sung Hwang Woo Young Lee

Source: Integral Equations and Operator Theory. 39:267-276

Subject Terms: Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, Perturbation theory of linear operators, Spectrum, resolvent, 0101 mathematics, 01 natural sciences

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Access URL: https://link.springer.com/article/10.1007/BF01332656

Realizations for Schur upper triangular operators centered at an arbitrary point

Authors: Daniel Alpay Y. Peretz

Source: Integral Equations and Operator Theory. 37:251-323

Subject Terms: nonstationary setting, Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), 01 natural sciences, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), Schur upper triangular operators centered at an arbitrary point, isometric, coisometric and unitary realizations for Schur functions, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc, transfer functions, dissipative systems, reproducing kernel spaces, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), 0101 mathematics, Linear operator methods in interpolation, moment and extension problems

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Access URL: https://link.springer.com/article/10.1007/BF01194480

Biquasitriangular Operators have Strongly Irreducible Perturbations: Biquasitriangular operators have strongly irreducible perturbations

Authors: Jiang, Chun Lan Power, Stephen C. Wang, Zong Yao

Source: The Quarterly Journal of Mathematics. 51:353-369

Subject Terms: Linear operator approximation theory, biquasitriangular operator, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, Perturbation theory of linear operators, approximated by a strongly irreducible operator, connected spectrum, 0101 mathematics, strongly irreducible perturbations, 10. No inequality, 16. Peace & justice, 01 natural sciences

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Access URL: https://zbmath.org/1544897
https://doi.org/10.1093/qjmath/51.3.353
https://documat.unirioja.es/servlet/articulo?codigo=2828407
https://dialnet.unirioja.es/servlet/articulo?codigo=2828407
https://eprints.lancs.ac.uk/id/eprint/19355
https://academic.oup.com/qjmath/article-abstract/51/3/353/1622596

Operator semigroups with quasinilpotent commutators

Authors: Peter Rosenthal Victor Shulman Heydar Radjavi

Source: Proceedings of the American Mathematical Society. 128:2413-2420

Subject Terms: Groups and semigroups of linear operators, Invariant subspaces of linear operators, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, quasinilpotent, triangularizable, multiplicative semigroup of matrices, extension field, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://www.ams.org/proc/2000-128-08/S0002-9939-00-05622-7/S0002-9939-00-05622-7.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=708243
https://www.jstor.org/stable/119831
https://www.ams.org/proc/2000-128-08/S0002-9939-00-05622-7/S0002-9939-00-05622-7.pdf
https://www.ams.org/journals/proc/2000-128-08/S0002-9939-00-05622-7/home.html

Non-commutative BMO space

Authors: N. Popa

Source: Archiv der Mathematik. 74:111-114

Subject Terms: Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, martingle BMO-version, triangular projection, non-commutative BMO, 0103 physical sciences, Toeplitz operators, Hankel operators, Wiener-Hopf operators, 0101 mathematics, 01 natural sciences, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007/PL00000415
https://link.springer.com/10.1007/PL00000415

Sublinearity and Other Spectral Conditions on a Semigroup: Sublinearity and other spectral conditions on a semigroup

Authors: Heydar Radjavi

Source: Canadian Journal of Mathematics. 52:197-224

Subject Terms: Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Invariant subspaces of linear operators, sublinearity, Algebraic systems of matrices, spectra of pairs of operators, commutativity, reducibility, 16. Peace & justice, 01 natural sciences, Groups and semigroups of linear operators, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, Linear operators defined by compactness properties, subadditivity, semigroup of compact operators, Spectrum, resolvent, triangularizability, 0101 mathematics, submultiplicativity

File Description: application/xml

Access URL: https://cms.math.ca/cjm/abstract/pdf/149202.pdf