A note concerning invariant subspaces of a bounded linear operator on a Banach space
Mathematical Proceedings of the Cambridge Philosophical Society, 1958openaire +2 more sources
Classification of linear differential operators with an invariant subspace in monomials
1993Post, Gerhard F., Turbiner, A.
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Invariant Subspaces of Nilpotent Linear Operators. I [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2006 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 $
Bourbaki N. +3 more
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Operations on Arc Diagrams and Degenerations for Invariant Subspaces of Linear Operators [PDF]
Transactions of the American Mathematical Society, 2013 We study geometric properties of varieties associated with invariant subspaces of nilpotent operators. There are reductive algebraic groups acting on these varieties. We give dimensions of orbits of these actions.
Kosakowska, Justyna, Schmidmeier, Markus
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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
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Symmetric invariant subspaces of complexifications of linear operators [PDF]
Mathematical Notes, 2012 3 ...
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Hamiltonians with Riesz Bases of Generalised Eigenvectors and Riccati Equations [PDF]
, 2010 An algebraic Riccati equation for linear operators is studied, which arises in systems theory. For the case that all involved operators are unbounded, the existence of infinitely many selfadjoint solutions is shown. To this end, invariant graph subspaces
Wyss, Christian
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A study on the unicellularity of some lower triangular operators [PDF]
, 1994 The investigation of invariant subspaces is the first step in the attempt to understand the structure of operators. We will investigate bounded linear operators on Hilbert spaces which have the simplest possible invariant subspace structure. ..
Baik Hyoung Gu, Kang Joo Ho
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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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