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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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 G G is amenable if and only if the group algebra L 1 ( G ) {L_1}\left ( G \right ) (respectively the measure algebra M
Lau, Anthony To-Ming, Wong, James C. S.
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Structure theorems for linear and non-linear differential operators admitting invariant polynomial subspaces [PDF]
, 2006 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.
Gomez-Ullate, David +2 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 $ $, denote by $N_ $ the nilpotent linear operator of Jordan type $ $. Given partitions $ $, $ $, we investigate the representation space ${}_2{\mathbb V}_ ^ $ of all short exact sequences $$ \mathcal E: 0\to N_ \to N_ \to N_ \to 0$$ where $ $ is any partition with each part at most 2.
Kaniecki, Mariusz +2 more
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Quasi-Exact Solvability and the direct approach to invariant subspaces [PDF]
, 2004 We propose a more direct approach to constructing differential operators that preserve polynomial subspaces than the one based on considering elements of the enveloping algebra of sl(2).
Arscott F M +20 more
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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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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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The Swiss Cheese Theorem for Linear Operators with Two Invariant Subspaces [PDF]
, 2014 We study systems $(V,T,U_1,U_2)$ consisting of a finite dimensional vector space $V$, a nilpotent $k$-linear operator $T:V\to V$ and two $T$-invariant subspaces $U_1\subset U_2\subset V$.
Moore, Audrey, Schmidmeier, Markus
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Hermitian Young Operators [PDF]
, 2013 Starting from conventional Young operators we construct Hermitian operators which project orthogonally onto irreducible representations of the (special) unitary group.Comment: 15 ...
Hamermesh M. +8 more
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Finite-dimensional invariant subspaces for measurable semigroups of linear operators
Journal of Mathematical Analysis and Applications, 1987 The authors show that on a measurable semigroup S, if the space of weakly left uniformly measurable functions on S (denoted by WLUM(S)) has a left invariant mean, then S satisfies F(n) for every \(n=1,2,...\), where F(n) is the following property: Let E be a separated locally convex space, let T:S\(\times E\to E\) be a weakly measurable action of S on ...
Lau, Anthony T.M, Wong, James C.S
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