Search Results - Quasitriangular AND quasitriangular, quasidiagonal AND quasidiagonal 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

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

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

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

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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

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

On bi-quasitriangular operators

Authors: L. J. Gray

Source: Proceedings of the American Mathematical Society. 64:291-294

Subject Terms: Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, Closed Range, Nilpotent Operator, 0101 mathematics, Bi-Quasitriangular, Algebraic Operator, 01 natural sciences

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Access URL: https://www.ams.org/proc/1977-064-02/S0002-9939-1977-0454698-X/S0002-9939-1977-0454698-X.pdf
https://zbmath.org/3624270
https://doi.org/10.2307/2041445
http://www.osti.gov/scitech/biblio/6234209-bi-quasitriangular-operators
https://www.ams.org/proc/1977-064-02/S0002-9939-1977-0454698-X/S0002-9939-1977-0454698-X.pdf
https://www.ams.org/journals/proc/1977-064-02/S0002-9939-1977-0454698-X/home.html

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

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

Quasitriangulierbare Operatoren und invariante Untervektorräume stetiger linearer Operatoren. (Quasitriangular operators and invariant subspaces of continuous linear operators.)

Authors: Meyer-Nieberg, Peter

Subject Terms: Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, Invariant subspaces of linear operators

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Access URL: https://zbmath.org/3360821

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

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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

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

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

Quasidiagonal operator algebras

Authors: Wagner, Bruce H.

Source: Illinois J. Math. 35, iss. 3 (1991), 451-467

Subject Terms: quasitriangular algebra associated to a nest, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, Classifications of \(C^*\)-algebras, Abstract operator algebras on Hilbert spaces, 46L99, block-diagonal, 47D25

File Description: application/xml; application/pdf

Access URL: https://zbmath.org/9464
https://projecteuclid.org/download/pdf_1/euclid.ijm/1255987790
https://projecteuclid.org/euclid.ijm/1255987790
http://projecteuclid.org/euclid.ijm/1255987790

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

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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

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

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

Band-diagonal operators

Authors: Pei Yuan Wu Che Kao Fong

Source: Linear Algebra and its Applications. 248:185-204

Subject Terms: Numerical Analysis, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, Algebra and Number Theory, normal operators, not band-diagonal, Discrete Mathematics and Combinatorics, Geometry and Topology, 0101 mathematics, not tridiagonal, 01 natural sciences, compact operators

File Description: application/xml

Access URL: https://zbmath.org/962184
https://doi.org/10.1016/0024-3795(95)00168-9
https://www.sciencedirect.com/science/article/pii/0024379595001689
https://www.ir.nctu.edu.tw/handle/11536/926
https://www.sciencedirect.com/science/article/abs/pii/0024379595001689
https://ir.nctu.edu.tw:443/bitstream/11536/926/1/A1996VP81200010.pdf
https://core.ac.uk/display/82066582

Factorization of staircase class operators in Hilbert space

Authors: Todor Stefanov Todorov

Source: Integral Equations and Operator Theory. 25:336-346

Subject Terms: Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, linear bounded staircase operators, orthogonal decompositions, chain property, factorization, block-diagonal, Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, bitriangular, biquasitriangular operators, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/913944
https://doi.org/10.1007/bf01262298
https://link.springer.com/article/10.1007%2FBF01262298

Extensions of bitriangular operators

Authors: David R. Larson Warren R. Wogen

Source: Integral Equations and Operator Theory. 25:216-223

Subject Terms: weakly closed algebra, bitriangular operator, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, Invariant subspaces of linear operators, algebraic operator, Abstract operator algebras on Hilbert spaces, 0103 physical sciences, separating vector, 0101 mathematics, Canonical models for contractions and nonselfadjoint linear operators, one-dimensional extension, cyclic commutant, 01 natural sciences

File Description: application/xml

Access URL: https://link.springer.com/content/pdf/10.1007/BF01308631.pdf
https://link.springer.com/article/10.1007/BF01308631