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

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

File Description: application/xml

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

Around quasidiagonal operators

Authors: Dan Voiculescu

Source: Integral Equations and Operator Theory. 17:137-149

Subject Terms: Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, Research exposition (monographs, survey articles) pertaining to operator theory, \(K\)-theory and operator algebras (including cyclic theory), Hilbert space operators, 0101 mathematics, Noncommutative topology, 01 natural sciences, quasidiagonality

File Description: application/xml

Access URL: https://link.springer.com/content/pdf/10.1007/BF01322551.pdf
https://link.springer.com/article/10.1007/BF01322551

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.)

File Description: application/xml; application/pdf

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

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

File Description: application/xml

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

Quasitriangular $+$ small compact $=$ strongly irreducible: Quasitriangular + small compact = strongly irreducible

Authors: You Qing Ji

Source: Transactions of the American Mathematical Society. 351:4657-4673

Subject Terms: Linear operator approximation theory, index, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, Perturbation theory of linear operators, strongly irreducible, Weyl spectrum, quasitriangular, Linear operators defined by compactness properties, Spectrum, resolvent, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://www.ams.org/tran/1999-351-11/S0002-9947-99-02307-7/S0002-9947-99-02307-7.pdf
https://www.ams.org/journals/tran/1999-351-11/S0002-9947-99-02307-7/
https://www.ams.org/tran/1999-351-11/S0002-9947-99-02307-7/S0002-9947-99-02307-7.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=477231

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

File Description: application/xml

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

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

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

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

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

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

File Description: application/xml

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

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

File Description: application/xml

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

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

File Description: application/xml

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

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

On Bitangential Interpolation in the Time-Varying Setting for Hilbert–Schmidt Operators: The Continuous Time Case: On bitangential interpolation in the time-varying setting for Hilbert-Schmidt operators: The continuous time case

Authors: Alpay, Daniel Bolotnikov, V. Freydin, B. et al.

Source: Journal of Mathematical Analysis and Applications. 228:275-292

Subject Terms: Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), nonstationary setting, Applied Mathematics, bitangential interpolation problem, time-varying systems, 01 natural sciences, multiplication operators by bounded measurable functions, Algebra, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, Discrete Mathematics and Combinatorics, lower triangular integral Hilbert-Schmidt operators, two-sided Nudelman interpolation problem, 0101 mathematics, Other Mathematics, Linear operator methods in interpolation, moment and extension problems, bounded upper triangular operators, Analysis

File Description: application/xml

Access URL: https://zbmath.org/1246320
https://doi.org/10.1006/jmaa.1998.6102
https://www.sciencedirect.com/science/article/pii/S0022247X98961029
https://core.ac.uk/display/82039707
https://digitalcommons.chapman.edu/scs_articles/466/
https://www.sciencedirect.com/science/article/abs/pii/S0022247X98961029
http://www.sciencedirect.com/science/article/pii/S0022247X98961029

On the Ideal-Triangularizability of Semigroups of Quasinilpotent Positive Operators on C(K): On the ideal-triangularizability of semigroups of quasinilpotent positive operators on \(C(\mathcal K)\)

Authors: M. T. Jahandideh

Source: Canadian Mathematical Bulletin. 41:298-305

Subject Terms: Banach lattice version of triangularizability, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, positive lower-semicontinuous kernels, Linear operators on function spaces (general), ideal-triangularizability, triangularizable, locally compact Hausdorff-Lindelöf space, Positive linear operators and order-bounded operators, 0101 mathematics, 01 natural sciences, semigroup of quasinilpotent integral operators

File Description: application/xml

Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0008439500005920
https://cms.math.ca/10.4153/CMB-1998-042-4

The index of triangular operator matrices

Authors: Béla Nagy K.-H. Förster

Source: Proceedings of the American Mathematical Society. 128:1167-1176

Subject Terms: Banach lattices, index, triangular operator matrix, Eigenvalues, singular values, and eigenvectors, order of a pole of the resolvent, nonnegative operator, direct sum of complex Banach spaces, Positive linear operators and order-bounded operators, Banach lattice, Rothblum index theorem, Laurent series, 01 natural sciences, Positive matrices and their generalizations, cones of matrices, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, Spectrum, resolvent, 0101 mathematics

File Description: application/xml

Access URL: https://www.ams.org/proc/2000-128-04/S0002-9939-99-05341-1/S0002-9939-99-05341-1.pdf
https://zbmath.org/1414973
https://doi.org/10.1090/s0002-9939-99-05341-1
https://www.ams.org/proc/2000-128-04/S0002-9939-99-05341-1/S0002-9939-99-05341-1.pdf
https://www.ams.org/journals/proc/2000-128-04/S0002-9939-99-05341-1/home.html
https://www.jstor.org/stable/119793
https://dialnet.unirioja.es/servlet/articulo?codigo=702751

On the triangular factorization of positive operators

Authors: Mikhail I. Belishev A. B. Pushnitskii

Source: Journal of Mathematical Sciences. 96:3312-3320

Subject Terms: BC-method, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, boundary control theory, amplitude integral, inverse problems, Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, Hermitian and normal operators (spectral measures, functional calculus, etc.), operator integral, 0101 mathematics, triangular factorization, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/1393022
https://doi.org/10.1007/bf02172806
https://link.springer.com/article/10.1007/BF02172806

Limits of Products of Positive Operators: Limits of products of positive operators

Authors: Don Hadwin

Source: Bulletin of the London Mathematical Society. 27:479-482

Subject Terms: Linear operator approximation theory, products of positive operators, essential spectrum, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, biquasitriangular operators, Numerical range, numerical radius, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/838612
https://doi.org/10.1112/blms/27.5.479
https://academic.oup.com/blms/article/27/5/479/297994
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/blms/27.5.479

Lie ideals in triangular operator algebras

Authors: Laurent Marcoux A. R. Sourour Timothy D. Hudson

Source: Transactions of the American Mathematical Society. 350:3321-3339

Subject Terms: Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, triangular operator algebras, triangular UHF algebras, Abstract operator algebras on Hilbert spaces, Nonselfadjoint (sub)algebras in algebras with involution, Lie ideals, 0101 mathematics, nest algebras, 01 natural sciences

File Description: application/xml

Access URL: https://www.ams.org/tran/1998-350-08/S0002-9947-98-02117-5/S0002-9947-98-02117-5.pdf
https://zbmath.org/1198525
https://doi.org/10.1090/s0002-9947-98-02117-5
https://www.ams.org/tran/1998-350-08/S0002-9947-98-02117-5/S0002-9947-98-02117-5.pdf
https://www.jstor.org/stable/117780
https://documat.unirioja.es/servlet/articulo?codigo=458529
https://www.ams.org/journals/tran/1998-350-08/S0002-9947-98-02117-5/home.html
https://dspace.library.uvic.ca/handle/1828/2795
https://dialnet.unirioja.es/servlet/articulo?codigo=458529