Search Results - Invariant subspaces of linear operators

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  1. 1

    Operations on arc diagrams and degenerations for invariant subspaces of linear operators. Part II by Kaniecki, Mariusz, Kosakowska, Justyna, Schmidmeier, Markus

    ISSN: 0092-7872, 1532-4125
    Published: Abingdon Taylor & Francis 04.05.2018
    Published 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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    Journal Article
  2. 2

    Nontrivial invariant subspaces of linear operator pencils by Kim, Jaewoong, Yoon, Jasang

    ISSN: 0008-4395, 1496-4287
    Published: Canada Canadian Mathematical Society 01.03.2024
    Published 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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    Journal Article
  3. 3

    Operations on Arc Diagrams and Degenerations for Invariant Subspaces of Linear Operators. Part II by Kaniecki, Mariusz, Kosakowska, Justyna, Schmidmeier, Markus

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 28.09.2016
    Published 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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  4. 4

    On the orbit of invariant subspaces of linear operators in finite-dimensional spaces (new proof of a Halmos's result) by Faouzi, Abdelkhalek

    ISSN: 0024-3795, 1873-1856
    Published: New York, NY Elsevier Inc 15.05.2001
    Published 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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  5. 5

    Operations on Arc Diagrams and Degenerations for Invariant Subspaces of Linear Operators by Kosakowska, Justyna, Schmidmeier, Markus

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 26.06.2013
    Published in arXiv.org (26.06.2013)
    “…We study geometric properties of varieties associated with invariant subspaces of nilpotent operators…”
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    Paper
  6. 6

    Lifting and linear maps of invariant subspaces among the linear pencil, a pair of operators, and their operator transforms by Kim, Jaewoong, Yoon, Jasang

    ISSN: 1007-5704
    Published: Elsevier B.V 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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  7. 7

    The existence of Hall polynomials for x2-bounded invariant subspaces of nilpotent linear operators by Kasjan, Stanisław, Kosakowska, Justyna

    ISSN: 0022-4049, 1873-1376
    Published: Elsevier B.V 01.05.2022
    Published 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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  8. 8

    Koopman Invariant Subspaces and Finite Linear Representations of Nonlinear Dynamical Systems for Control by Brunton, Steven L., Brunton, Bingni W., Proctor, Joshua L., Kutz, J. Nathan

    ISSN: 1932-6203, 1932-6203
    Published: United States Public Library of Science 26.02.2016
    Published 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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  9. 9

    Finite dimensional invariant subspaces for algebras of linear operators and amenable Banach algebras by Nasr-Isfahani, Rasoul, Nemati, Mehdi, Shahmoradi, Somayeh

    ISSN: 0024-3795, 1873-1856
    Published: Elsevier Inc 01.12.2016
    Published 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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  10. 10

    Symmetric invariant subspaces of complexifications of linear operators by Storozhuk, K. V.

    ISSN: 0001-4346, 1573-8876
    Published: Dordrecht SP MAIK Nauka/Interperiodica 01.04.2012
    Published in Mathematical Notes (01.04.2012)
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  11. 11

    Weighted Hardy spaces: shift invariant and coinvariant subspaces, linear systems and operator model theory by Ball, Joseph A., Bolotnikov, Vladimir

    ISSN: 0001-6969, 2064-8316
    Published: Cham Springer International Publishing 01.12.2013
    Published 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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  12. 12

    Two invariant subspaces and spectral properties of a linear operator by Djordjević, S. V., Hwang, I. S., Duggal, B. P.

    ISSN: 0001-6969, 2064-8316
    Published: Cham Springer International Publishing 01.12.2016
    Published 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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  13. 13

    Orbits of invariant subspaces of algebraic linear operators by Benabdallah, Khalid, Charles, Bernard

    ISSN: 0024-3795, 1873-1856
    Published: Elsevier Inc 01.08.1995
    Published 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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  14. 14

    On the Invariant Subspace Problem via Universal Toeplitz Operators on the Hardy Space Over the Bidisk by do Carmo, João Marcos R., Ferreira, Marcos S.

    ISSN: 1678-7544, 1678-7714
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 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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  15. 15

    ON THE DECOMPOSITION OF OPERATORS WITH SEVERAL ALMOST-INVARIANT SUBSPACES by ASSADI, AMANOLLAH, FARZANEH, MOHAMAD ALI, MOHAMMADINEJAD, HAJI MOHAMMAD

    ISSN: 0004-9727, 1755-1633
    Published: Cambridge, UK Cambridge University Press 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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  16. 16

    Two partial orders on Standard Young Tableaux with applications to invariant subspaces of nilpotent linear operators by Kaniecki, Mariusz, Kosakowska, Justyna

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 08.11.2023
    Published 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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  17. 17

    Some invariant subspaces for w-hyponormal operators by Rashid, M. H. M.

    ISSN: 0308-1087, 1563-5139
    Published: Abingdon Taylor & Francis 03.07.2019
    Published 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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  18. 18

    The Proper Elements and Simple Invariant Subspaces by Djordjević, Slaviša V.

    ISSN: 0976-5905, 0975-8607
    Published: Kingsville RGN Publications 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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  19. 19

    On some restrictions of an operator to an invariant subspace by Wójcik, Paweł

    ISSN: 0024-3795, 1873-1856
    Published: Elsevier Inc 01.06.2014
    Published 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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  20. 20

    Weighted Bergman Spaces: Shift-Invariant Subspaces and Input/State/Output Linear Systems by Ball, Joseph A., Bolotnikov, Vladimir

    ISSN: 0378-620X, 1420-8989
    Published: Basel SP Birkhäuser Verlag Basel 01.07.2013
    Published 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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