Search Results - "Invariant subspaces of linear operators"

Note on polynomially quasi-m-isometric hilbert space operators: Note on polynomially quasi-\(m\)-isometric Hilbert space operators

Authors: Naeem Ahmad Sid Ahmed Ould Ahmed Mahmoud

Source: The Journal of Analysis. 33:553-566

Subject Terms: Invariant subspaces of linear operators, \(m\)-isometric, Hermitian and normal operators (spectral measures, functional calculus, etc.), \(n\)-quasi-\(m\)-isometric, tensor product, SVEP

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Spectral continuity and the dynamics of quasi-2-isometric operators

Authors: Mecheri, Salah Saddi, Adel Sedki, Amira et al.

Source: The Journal of Analysis. 32:2629-2638

Subject Terms: Invariant subspaces of linear operators, isometry, Weyl's theorem, Commutators, derivations, elementary operators, etc, Norms (inequalities, more than one norm, etc.) of linear operators, Subnormal operators, hyponormal operators, etc, supercyclicity

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Access URL: https://zbmath.org/7965048
https://doi.org/10.1007/s41478-024-00758-9

On Isolated Parts of the S-Spectrum of a Bounded Right Linear Operator: On isolated parts of the S-spectrum of a bounded right linear operator

Authors: Arzini, Rachid Jaatit, Ali

Source: Complex Analysis and Operator Theory. 19

Subject Terms: Functional calculus for linear operators, Invariant subspaces of linear operators, S-spectrum, right quaternionic Hilbert space, analytic core, isolated part, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), quasi-nilpotent part, Spectrum, resolvent

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Access URL: https://zbmath.org/8033581
https://doi.org/10.1007/s11785-025-01676-9

The operators on a class of quotient modules over the bidisk

Authors: Changhui Wu Chunxu Xu Tao Yu et al.

Source: Banach Journal of Mathematical Analysis. 19

Subject Terms: Invariant subspaces of linear operators, Several-variable operator theory (spectral, Fredholm, etc.), evaluation operator, compression operator, quotient module, compactness, Spectrum, resolvent, reducibility

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Access URL: https://zbmath.org/8010373
https://doi.org/10.1007/s43037-025-00414-9

Lifting and linear maps of invariant subspaces among the linear pencil, a pair of operators, and their operator transforms

Authors: Kim, Jaewoong Yoon, Jasang

Source: Communications in Nonlinear Science and Numerical Simulation. 147:108818

Subject Terms: Functional calculus for linear operators, Invariant subspaces of linear operators, linear pencil, Operators on Hilbert spaces (general), Several-variable operator theory (spectral, Fredholm, etc.), Aluthge transforms, hyperinvariant subspaces, Operator matrices, Spectrum, resolvent, invariant subspaces, Software, source code, etc. for problems pertaining to numerical analysis

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Access URL: https://zbmath.org/8035183
https://doi.org/10.1016/j.cnsns.2025.108818

The symmetrization map and $$\Gamma$$-contractions: The symmetrization map and \(\Gamma\)-contractions

Authors: Pal, Sourav

Source: Collectanea Mathematica. 75:81-99

Subject Terms: Spectral sets of linear operators, Mathematics - Functional Analysis, \( \Gamma \)-contraction, Invariant subspaces of linear operators, Several-variable operator theory (spectral, Fredholm, etc.), symmetrization map, Dilations, extensions, compressions of linear operators, spectral set, 0101 mathematics, 01 natural sciences

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Access URL: http://arxiv.org/abs/2110.03009

On the continuity of causal operators

Authors: Máté, L.

Source: Publicationes Mathematicae Debrecen. 36:191-198

Subject Terms: Invariant subspaces of linear operators, Operator-theoretic methods, 0101 mathematics, Linear accretive operators, dissipative operators, etc, Input-output approaches in control theory, 01 natural sciences

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Access URL: https://zbmath.org/1900204

A model theory for operators associated with a domain related to $$\mu $$-synthesis: A model theory for operators associated with a domain related to \(\mu\)-synthesis

Authors: Bappa Bisai Sourav Pal

Source: Collectanea Mathematica. 74:173-198

Subject Terms: Spectral sets of linear operators, \(\mu\)-synthesis problem, Invariant subspaces of linear operators, fundamental operator pair, Several-variable operator theory (spectral, Fredholm, etc.), \(\mathbb{E}\)-contraction, Dilations, extensions, compressions of linear operators, complete unitary invariant, tetrablock, 0101 mathematics, Canonical models for contractions and nonselfadjoint linear operators, operator model, 01 natural sciences

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Access URL: https://link.springer.com/article/10.1007/s13348-021-00341-6

Correction to: Canonical Decomposition of Operators Associated with the Symmetrized Polydisc: Correction to: ``Canonical decomposition of operators associated with the symmetrized polydisc''

Authors: Pal, Sourav

Source: Complex Analysis and Operator Theory. 17

Subject Terms: Spectral sets of linear operators, canonical decomposition, Invariant subspaces of linear operators, symmetrized polydisc, Several-variable operator theory (spectral, Fredholm, etc.), Dilations, extensions, compressions of linear operators, spectral set, Canonical models for contractions and nonselfadjoint linear operators, \(\Gamma_n\)-contraction

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The positive supercyclicity theorem

Authors: León Saavedra, F. Universidad de Cádiz

Contributors: León Saavedra, F. Universidad de Cádiz

Source: Dehesa. Repositorio Institucional de la Universidad de Extremadura
Universidad de Extremadura (UEX)

Subject Terms: Volterra operator, Research exposition (monographs, survey articles) pertaining to operator theory, Invariant subspaces of linear operators, 1202.01 Álgebra de Operadores, 1202 Análisis y Análisis Funcional, Cyclic vectors, hypercyclic and chaotic operators, Positive linear operators and order-bounded operators, supercyclic operators, Teorema de la superciclicidad positiva, positive operators, invariant subspaces, Positive supercyclicity theorem

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Access URL: http://hdl.handle.net/10662/17397
https://zbmath.org/2109257

Power Set of Some Quasinilpotent Weighted shifts on $l^p$: Power set of some quasinilpotent weighted shifts on \(\ell^p\)

Authors: Hu, ChaoLong Ji, YouQing

Subject Terms: Mathematics - Functional Analysis, Invariant subspaces of linear operators, power set, Primary 47A10, Secondary 47B37, 15A60, FOS: Mathematics, weighted shift, quasinilpotent operator, hyperinvariant subspace, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.), Functional Analysis (math.FA)

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Access URL: http://arxiv.org/abs/2306.00387
https://zbmath.org/7805325
https://doi.org/10.1016/j.laa.2024.01.011

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)

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

Riccati equations and Toeplitz-Berezin type symbols on Dirichlet space of unit ball

Authors: Xiao Feng Wang Jian Jun Chen Jin Xia et al.

Source: Frontiers of Mathematics in China. 12:769-785

Subject Terms: Riccati equation, 0209 industrial biotechnology, Invariant subspaces of linear operators, Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), Toeplitz operator, Toeplitz operators, Hankel operators, Wiener-Hopf operators, 02 engineering and technology, 0101 mathematics, Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)), 01 natural sciences, Equations involving linear operators, with operator unknowns, Dirichlet space, unit ball

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Access URL: https://zbmath.org/6780269
https://doi.org/10.1007/s11464-017-0640-5
https://journal.hep.com.cn/fmc/EN/10.1007/s11464-017-0640-5
https://academic.hep.com.cn/fmc/CN/Y2017/V12/I4/769
https://link.springer.com/article/10.1007%2Fs11464-017-0640-5

Stability of reducing subspaces

Authors: Armentia Galán, Gorka Gracia Melero, Juan Miguel Velasco Angulo, Francisco Enrique

Source: Addi. Archivo Digital para la Docencia y la Investigación
Universidad del País Vasco

Subject Terms: 0209 industrial biotechnology, Invariant subspaces of linear operators, Perturbation theory of linear operators, Canonical forms, reductions, classification, perturbation, 02 engineering and technology, stability, 01 natural sciences, deflating subspaces, Norms of matrices, numerical range, applications of functional analysis to matrix theory, reducing subspaces, rectangular matrix pencils, 0101 mathematics, Matrix pencils, 10. No inequality, stability perturbation, Kronecker canonical form

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Access URL: http://hdl.handle.net/10810/70611
https://zbmath.org/6409678
https://doi.org/10.1016/j.laa.2014.10.026
https://www.sciencedirect.com/science/article/pii/S0024379514006958

Quasireducible operators

Authors: C. S. Kubrusly

Source: Hilbert Space Operators ISBN: 9780817632427
International Journal of Mathematics and Mathematical Sciences, Vol 2003, Iss 31, Pp 1993-2002 (2003)

Subject Terms: hyponormal operator, Invariant subspaces of linear operators, invariant subspace, reducible operator, QA1-939, Hilbert space, 0101 mathematics, Subnormal operators, hyponormal operators, etc, 01 natural sciences, Mathematics

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Access URL: https://downloads.hindawi.com/journals/ijmms/2003/198750.pdf
https://zbmath.org/1930083
https://doi.org/10.1155/s0161171203206165
https://doaj.org/article/d676d3381c744b17903ce8cc85215a3f

Power set and invariant subspaces of cyclic quasinilpotent operators

Authors: Wei He Guoliang Zhu

Source: Journal of Mathematical Analysis and Applications. 508:125855

Subject Terms: strictly cyclic, Invariant subspaces of linear operators, power set, Perturbation theory of linear operators, invariant subspace, strongly strictly cyclic, 0101 mathematics, 01 natural sciences, quasinilpotent operator

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Access URL: https://www.sciencedirect.com/science/article/pii/S0022247X21009379

On the commutant of asymptotically non-vanishing contractions

Authors: László Kérchy György Pál Gehér

Source: Periodica Mathematica Hungarica. 63:191-203

Subject Terms: Invariant subspaces of linear operators, commutant mapping, Commutators, derivations, elementary operators, etc, contraction, 0101 mathematics, Canonical models for contractions and nonselfadjoint linear operators, unitary asymptote, 01 natural sciences

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Access URL: https://zbmath.org/6006232
https://doi.org/10.1007/s10998-011-8191-0
https://dialnet.unirioja.es/servlet/articulo?codigo=3793952
https://doi.org/10.1007/s10998-011-8191-0
https://dblp.uni-trier.de/db/journals/pmh/pmh63.html#GeherK11
http://matika.elf.stuba.sk/KMAT/Nemecka?action=AttachFile&do=get&target=G.+P.Geher.pdf
https://link.springer.com/article/10.1007/s10998-011-8191-0

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

Shift-type invariant subspaces of contractions

Authors: László Kérchy

Source: Journal of Functional Analysis. 246:281-301

Subject Terms: Contraction, Invariant subspaces of linear operators, Invariant subspaces, contraction, intertwining relation, Canonical models for contractions and nonselfadjoint linear operators, Hyperinvariant subspace problem, 01 natural sciences, unilateral shift, Unilateral shift, Functional model, Intertwining relation, hyperinvariant subspace problem, functional model, 0101 mathematics, invariant subspaces, Analysis

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Access URL: https://zbmath.org/5167474
https://doi.org/10.1016/j.jfa.2007.01.011
https://www.sciencedirect.com/science/article/pii/S0022123607000274
https://core.ac.uk/display/81984505

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