Search Results - Invariant subspaces of linear operators
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Operations on arc diagrams and degenerations for invariant subspaces of linear operators. Part II
ISSN: 0092-7872, 1532-4125Published: Abingdon Taylor & Francis 04.05.2018Published in Communications in algebra (04.05.2018)“…For a partition β, denote by N β the nilpotent linear operator of Jordan type β. Given partitions β, γ, we investigate the representation space of all short exact sequences…”
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Nontrivial invariant subspaces of linear operator pencils
ISSN: 0008-4395, 1496-4287Published: Canada Canadian Mathematical Society 01.03.2024Published in Canadian mathematical bulletin (01.03.2024)“…})$ and investigate nontrivial invariant subspaces between the generalized spherical Aluthge transform of the linear pencil of $\mathbf…”
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Operations on Arc Diagrams and Degenerations for Invariant Subspaces of Linear Operators. Part II
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 28.09.2016Published in arXiv.org (28.09.2016)“…For a partition \(\beta\), denote by \(N_\beta\) the nilpotent linear operator of Jordan type \(\beta\). Given partitions \(\beta\), \(\gamma…”
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On the orbit of invariant subspaces of linear operators in finite-dimensional spaces (new proof of a Halmos's result)
ISSN: 0024-3795, 1873-1856Published: New York, NY Elsevier Inc 15.05.2001Published in Linear algebra and its applications (15.05.2001)“…P.R. Halmos proved that for a linear operator A over a finite-dimensional complex vector space E, every A-invariant subspace of E is the range of a commutant…”
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Operations on Arc Diagrams and Degenerations for Invariant Subspaces of Linear Operators
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 26.06.2013Published in arXiv.org (26.06.2013)“…We study geometric properties of varieties associated with invariant subspaces of nilpotent operators…”
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Lifting and linear maps of invariant subspaces among the linear pencil, a pair of operators, and their operator transforms
ISSN: 1007-5704Published: Elsevier B.V 01.08.2025Published in Communications in nonlinear science & numerical simulation (01.08.2025)“…In this paper, we find and study explicit connections of invariant (hyperinvariant) subspaces among the linear pencil, a pair of operators, and their operator transforms…”
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The existence of Hall polynomials for x2-bounded invariant subspaces of nilpotent linear operators
ISSN: 0022-4049, 1873-1376Published: Elsevier B.V 01.05.2022Published in Journal of pure and applied algebra (01.05.2022)“…We prove the existence of Hall polynomials for x2-bounded invariant subspaces of nilpotent linear operators…”
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Koopman Invariant Subspaces and Finite Linear Representations of Nonlinear Dynamical Systems for Control
ISSN: 1932-6203, 1932-6203Published: United States Public Library of Science 26.02.2016Published in PloS one (26.02.2016)“…In this wIn this work, we explore finite-dimensional linear representations of nonlinear dynamical systems by restricting the Koopman operator to an invariant subspace spanned by specially chosen observable functions…”
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Finite dimensional invariant subspaces for algebras of linear operators and amenable Banach algebras
ISSN: 0024-3795, 1873-1856Published: Elsevier Inc 01.12.2016Published in Linear algebra and its applications (01.12.2016)“…We study a finite dimensional invariant subspace property similar to Fan's Theorem on semigroups for arbitrary Banach algebras A in terms of amenability of X(A,ϕ…”
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Symmetric invariant subspaces of complexifications of linear operators
ISSN: 0001-4346, 1573-8876Published: Dordrecht SP MAIK Nauka/Interperiodica 01.04.2012Published in Mathematical Notes (01.04.2012)Get full text
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Weighted Hardy spaces: shift invariant and coinvariant subspaces, linear systems and operator model theory
ISSN: 0001-6969, 2064-8316Published: Cham Springer International Publishing 01.12.2013Published in Acta scientiarum mathematicarum (Szeged) (01.12.2013)“…: shift-invariant subspaces, operatorvalued inner functions, conservative discrete-time input/state/output linear systems, and C…”
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Two invariant subspaces and spectral properties of a linear operator
ISSN: 0001-6969, 2064-8316Published: Cham Springer International Publishing 01.12.2016Published in Acta scientiarum mathematicarum (Szeged) (01.12.2016)“…In this note we give conditions for the invertibility of a bounded linear operator T defined on a Banach space X such that X decomposes into a (non direct…”
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Orbits of invariant subspaces of algebraic linear operators
ISSN: 0024-3795, 1873-1856Published: Elsevier Inc 01.08.1995Published in Linear algebra and its applications (01.08.1995)“…Let E be a vector space over a field K, and A an algebraic K-linear operator on E…”
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On the Invariant Subspace Problem via Universal Toeplitz Operators on the Hardy Space Over the Bidisk
ISSN: 1678-7544, 1678-7714Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2024Published in Boletim da Sociedade Brasileira de Matemática (01.06.2024)“…The invariant subspace problem (ISP) for Hilbert spaces asks if every bounded linear operator has a non-trivial closed invariant subspace…”
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ON THE DECOMPOSITION OF OPERATORS WITH SEVERAL ALMOST-INVARIANT SUBSPACES
ISSN: 0004-9727, 1755-1633Published: Cambridge, UK Cambridge University Press 01.04.2019Published in Bulletin of the Australian Mathematical Society (01.04.2019)“… We study the bounded linear operators which have a collection of almost-invariant subspaces and prove that a bounded linear operator on a Banach space, admitting each closed subspace as an almost…”
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Two partial orders on Standard Young Tableaux with applications to invariant subspaces of nilpotent linear operators
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 08.11.2023Published in arXiv.org (08.11.2023)“…In the paper we investigate two partial orders on standard Young tableaux and show their applications in the theory of invariant subspaces of nilpotent linear…”
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Some invariant subspaces for w-hyponormal operators
ISSN: 0308-1087, 1563-5139Published: Abingdon Taylor & Francis 03.07.2019Published in Linear & multilinear algebra (03.07.2019)“…, where . We prove that if T is w-hyponormal and the spectrum is finite, then T is algebraic. In addition, we prove that if is w-hyponormal and has decomposition property , then T has a non-trivial invariant closed linear subspace…”
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The Proper Elements and Simple Invariant Subspaces
ISSN: 0976-5905, 0975-8607Published: Kingsville RGN Publications 01.01.2012Published in Communications in Mathematics and Applications (01.01.2012)“… that $\lambda_0$ is a simple pole of $A_0$ if and only if $\lambda_0\notin\sigma (\widehat{A_0})$. Follow this concept we can define simple invariant subspaces of linear operator…”
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On some restrictions of an operator to an invariant subspace
ISSN: 0024-3795, 1873-1856Published: Elsevier Inc 01.06.2014Published in Linear algebra and its applications (01.06.2014)“… Thus, we will show that there exist many invariant subspaces for those operators. In respect to this, we will understand better the structure of many operators…”
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Weighted Bergman Spaces: Shift-Invariant Subspaces and Input/State/Output Linear Systems
ISSN: 0378-620X, 1420-8989Published: Basel SP Birkhäuser Verlag Basel 01.07.2013Published in Integral equations and operator theory (01.07.2013)“… linear system with stable state-dynamics, as well as the functional-model space for a Hilbert space contraction operator, while forward shift-invariant subspaces have a representation in terms of an inner function…”
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