Výsledky vyhľadávania - 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, 1532-4125Vydavateľské údaje: Abingdon Taylor & Francis 04.05.2018Vydané v 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, 1496-4287Vydavateľské údaje: Canada Canadian Mathematical Society 01.03.2024Vydané v 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: 2331-8422Vydavateľské údaje: Ithaca Cornell University Library, arXiv.org 28.09.2016Vydané v 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, 1873-1856Vydavateľské údaje: New York, NY Elsevier Inc 15.05.2001Vydané v 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: 2331-8422Vydavateľské údaje: Ithaca Cornell University Library, arXiv.org 26.06.2013Vydané v 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: 1007-5704Vydavateľské údaje: Elsevier B.V 01.08.2025Vydané v 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, 1873-1376Vydavateľské údaje: Elsevier B.V 01.05.2022Vydané v 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, 1932-6203Vydavateľské údaje: United States Public Library of Science 26.02.2016Vydané v 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, 1873-1856Vydavateľské údaje: Elsevier Inc 01.12.2016Vydané v 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, 1573-8876Vydavateľské údaje: Dordrecht SP MAIK Nauka/Interperiodica 01.04.2012Vydané v Mathematical Notes (01.04.2012)Získať plný text
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Weighted Hardy spaces: shift invariant and coinvariant subspaces, linear systems and operator model theory
ISSN: 0001-6969, 2064-8316Vydavateľské údaje: Cham Springer International Publishing 01.12.2013Vydané v 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, 2064-8316Vydavateľské údaje: Cham Springer International Publishing 01.12.2016Vydané v 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, 1873-1856Vydavateľské údaje: Elsevier Inc 01.08.1995Vydané v 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, 1678-7714Vydavateľské údaje: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2024Vydané v 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, 1755-1633Vydavateľské údaje: Cambridge, UK Cambridge University Press 01.04.2019Vydané v 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: 2331-8422Vydavateľské údaje: Ithaca Cornell University Library, arXiv.org 08.11.2023Vydané v 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, 1563-5139Vydavateľské údaje: Abingdon Taylor & Francis 03.07.2019Vydané v 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, 0975-8607Vydavateľské údaje: Kingsville RGN Publications 01.01.2012Vydané v 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, 1873-1856Vydavateľské údaje: Elsevier Inc 01.06.2014Vydané v 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, 1420-8989Vydavateľské údaje: Basel SP Birkhäuser Verlag Basel 01.07.2013Vydané v 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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