Structure theorems for linear and non-linear differential operators admitting invariant polynomial subspaces [PDF]
Discrete and Continuous Dynamical Systems, 2007 In this paper we derive structure theorems that characterize the spaces of linear and non-linear differential operators that preserve finite dimensional subspaces generated by polynomials in one or several variables. By means of the useful concept of deficiency, we can write explicit basis for these spaces of differential operators.
David Gómez-Ullate +2 more
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Invariant subspaces of nilpotent linear operators, I [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2008 Let $k$ be a field. We consider triples $(V,U,T)$, where $V$ is a finite dimensional $k$-space, $U$ a subspace of $V$ and $T \:V \to V$ a linear operator with $T^n = 0$ for some $n$, and such that $T(U) \subseteq U$. Thus, $T$ is a nilpotent operator on $V$, and $U$ is an invariant subspace with respect to $T$.
Ringel, Claus Michael +1 more
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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
core +4 more sources
Symmetric invariant subspaces of complexifications of linear operators [PDF]
Mathematical Notes, 2012 3 ...
K V Storozhuk, Storozhuk K V
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Invariant Subspaces for a Semigroup of Linear Operators
Proceedings of the Koninklijke Nederlandse Akademie Van Wetenschappen Series A, Indagationes Mathematicae, 1965 Following result is shown using similar arguments to those in the author's previous work [Isr. J. Math. 2, 19--26 (1964; Zbl 0131.33101)]. Let \(E\) be a locally convex Hausdorff space, and \(H\) a closed subspace in \(E\) of finite codimension \(n\). Let \(X\) be a set in \(E\) having the following properties: (1) \(X \cap (x + H)\) is compact convex ...
Ky Fan
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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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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.
Stanisław Kasjan, Justyna Kosakowska
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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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Degenerate Multi-Term Equations with Gerasimov–Caputo Derivatives in the Sectorial Case
Mathematics, 2022 The unique solvability for the Cauchy problem in a class of degenerate multi-term linear equations with Gerasimov–Caputo derivatives in a Banach space is investigated.
Vladimir E. Fedorov, Kseniya V. Boyko
doaj +1 more source
Approximately invariant subspaces for unbounded linear operators. II
Mathematische Annalen, 1977 Palle E T Jørgensen +1 more
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