Results 11 to 20 of about 49,230 (203)
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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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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Recent progress on truncated Toeplitz operators [PDF]
, 2012 This paper is a survey on the emerging theory of truncated Toeplitz operators. We begin with a brief introduction to the subject and then highlight the many recent developments in the field since Sarason's seminal paper in 2007.Comment: 46 ...
Garcia, Stephan Ramon, Ross, William T.
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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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Rayleigh-Ritz majorization error bounds with applications to FEM [PDF]
, 2009 The Rayleigh-Ritz (RR) method finds the stationary values, called Ritz values, of the Rayleigh quotient on a given trial subspace as approximations to eigenvalues of a Hermitian operator $A$.
Argentati, Merico E., Knyazev, Andrew V.
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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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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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Invariant Subspaces for a Semigroup of Linear Operators
Indagationes Mathematicae (Proceedings), 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 ...
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, 2016 In this paper we discuss the problem of decomposition for unbounded $2\times 2$ operator matrices by a pair of complementary invariant graph subspaces.
Makarov, Konstantin A. +2 more
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