Results 11 to 20 of about 67,483 (257)
Recurrent Linear Operators [PDF]
Complex Analysis and Operator Theory, 2013 38 pages; final version, incorporates referee's report; to appear in Complex Anal.
Costakis, George +2 more
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Maximality of linear operators [PDF]
Rendiconti del Circolo Matematico di Palermo Series 2, 2018 We present maximality results in the setting of non necessarily bounded operators. In particular, we discuss and establish results showing when the "inclusion" between operators becomes a full equality.
Meziane, Mohammed +1 more
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Pseudospectra of Linear Operators [PDF]
SIAM Review, 1997 This overview is a companion to the author's article [Pitman Res. Notes Math. Ser. 260, 234-266 (1992; Zbl 0798.15005)], where the matrix case was treated. In this paper newer results on the pseudospectrum of operators are presented and thoroughly discussed. It contains ten examples for pseudospectra of bounded and unbounded operators, e.g.
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Hypercausal Linear Operators [PDF]
SIAM Journal on Control and Optimization, 1984 Several different classes of hypercausal operators appear in linear system theory. This paper provides, for each pair of classes of hypercausal operators, necessary and sufficient conditions on the Hilbert resolution space to guarantee equality of the classes. In addition, the effect of similarity transforms on each class is studied.
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Complexity of Linear Operators
Electron. Colloquium Comput. Complex., 2018 Let $A \in \{0,1\}^{n \times n}$ be a matrix with $z$ zeroes and $u$ ones and $x$ be an $n$-dimensional vector of formal variables over a semigroup $(S, \circ)$. How many semigroup operations are required to compute the linear operator $Ax$? As we observe in this paper, this problem contains as a special case the well-known range queries problem and ...
Alexander S. Kulikov +3 more
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POINTS OF RETRACTION INTO CONE AND VORONOVSKAYA TYPE THEOREMS
Transactions of the Karelian Research Centre of the Russian Academy of Sciences, 2015 The general approach to Voronovskaya theorems about the rate of convergence of linear operators sequence to the functions of some classes is considered. These theorems are proved with the help of a functional which in many concrete situations may have a ...
Yury Abakumov, Victor Banin
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Compressive identification of linear operators [PDF]
2011 IEEE International Symposium on Information Theory Proceedings, 2011 To be presented at IEEE Int. Symp. Inf.
Reinhard Heckel, Helmut Bölcskei
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An inequality for imaginary parts of eigenvalues of non-compact operators with Hilbert-Schmidt Hermitian components [PDF]
Opuscula MathematicaLet \(A\) be a bounded linear operator in a complex separable Hilbert space, \(A^*\) be its adjoint one and \(A_I:=(A-A^*)/(2i)\). Assuming that \(A_I\) is a Hilbert-Schmidt operator, we investigate perturbations of the imaginary parts of the ...
Michael Gil'
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Pareto vectors of continuous linear operators
Journal of Inequalities and Applications, 2023 The intersection of all zero-neighborhoods in a topological module over a topological ring is a bounded and closed submodule whose inherited topology is the trivial topology.
Francisco Javier García-Pacheco
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Singularly perturbed rank one linear operators
Математичні Студії, 2021 The basic principles of the theory of singularly perturbed self-adjoint operators are generalized to the case of closed linear operators with non-symmetric perturbation of rank one.
M.E. Dudkin, O. Yu. Dyuzhenkova
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