Invariant Subspaces of Collectively Compact Sets of Linear Operators
Positivity, 2008 The authors introduce some invariant subspace results for collectively compact families of operators and they also show that any collectively compact set of operators satisfies the Berger--Wang formula [\textit{M.\,A.\thinspace Berger} and \textit{Y.\,Wang}, Linear Algebra Appl.\ 166, 21--27 (1992; Zbl 0818.15006)] in a special case.
Mısırlıoğlu, Remzi Tunç +1 more
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Operations on arc diagrams and degenerations for invariant subspaces of linear operators. Part II [PDF]
Communications in Algebra, 2017 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 ${}_2{\mathbb V}_γ^β$ of all short exact sequences $$ \mathcal E: 0\to N_α\to N_β\to N_γ\to 0$$ where $α$ is any partition with each part at most 2.
Kaniecki, Mariusz +2 more
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On Invariant Subspaces of a Linear Operator
Mathematical NotesWe discuss the concept of invariant subspaces for unbounded linear operators, point out some shortcomings of known definitions, and propose our own.
Belishev, M. I., Simonov, S. A.
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The existence of Hall polynomials for x2-bounded invariant subspaces of nilpotent linear operators
Journal of Pure and Applied Algebra, 2022 We prove the existence of Hall polynomials for $x^2$-bounded invariant subspaces of nilpotent linear operators.
Kasjan, Stanisław, Kosakowska, Justyna
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Orbits of invariant subspaces of algebraic linear operators
Linear Algebra and its Applications, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Benabdallah, Khalid, Charles, Bernard
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Invariant subspaces for algebras of linear operators and amenable locally compact groups [PDF]
Proceedings of the American Mathematical Society, 1988 Let G G be a locally compact group. We prove in this paper that
Lau, Anthony To-Ming, Wong, James C. S.
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Applications of Littlewood-Richardson tableaux to computing generic extension of semisimple invariant subspaces of nilpotent linear operators [PDF]
Linear Algebra and its Applications, 2020 The main aim of the paper is to present a~combinatorial algorithm that, applying Littlewood-Richardson tableaux with entries equal to $1$, computes generic extensions of semisimple invariant subspaces of nilpotent linear operators. Moreover, we discuss geometric properties of generic extensions and their connections with combinatorics.
Mariusz Kaniecki, Justyna Kosakowska
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Classification of linear differential operators with an invariant subspace of monomials
Russian journal of mathematical physics, 1993 10 ...
Post, Gerhard F., Turbiner, A.
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Weighted Hardy spaces: shift invariant and coinvariant subspaces, linear systems and operator model theory [PDF]
Acta Scientiarum Mathematicarum, 2013 The Sz.-Nagy--Foias model theory for $C_{\cdot 0}$ contraction operators combined with the Beurling-Lax theorem establishes a correspondence between any two of four kinds of objects: shift-invariant subspaces, operator-valued inner functions, conservative discrete-time input/state/output linear systems, and $C_{\cdot 0}$ Hilbert-space contraction ...
Ball, Joseph A., Bolotnikov, Vladimir
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On linear operators with an invariant subspace of functions
, 2004 6 pages, LaTeX, discussion extended, reference ...
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