Results 11 to 20 of about 63,325 (230)
Linear maps preserving $A$-unitary operators [PDF]
Mathematica Bohemica, 2016 Let $\mathcal{H}$ be a complex Hilbert space, $A$ a positive operator with closed range in $\mathscr{B}(\mathcal{H})$ and $\mathscr{B}_A(\mathcal{H})$ the sub-algebra of $\mathscr{B}(\mathcal{H})$ of all $A$-self-adjoint operators. Assume $\phi \mathscr{
Abdellatif Chahbi +2 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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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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International Journal of Mathematics and Mathematical Sciences, 2007 Using the method of Jakimovski and Leviatan from their work in 1969, we construct a general class of linear positive operators. We study the convergence, the evaluation for the rate of convergence in terms of the first modulus of smoothness and we give a
Ovidiu T. Pop
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Extension of linear operators with applications
Acta et Commentationes: Ştiinţe Exacte şi ale Naturii, 2023 The article presents a method for solving characteristic singular integral equations perturbed with compact operators. The method consists in reducing the solution of these equations to the solution of the systems of singular (unperturbed) equations ...
Vasile Neagu, Diana Bîclea
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Continuity of Linear Operators Commuting with Continuous Linear Operators [PDF]
Transactions of the American Mathematical Society, 1967 1. Introduction. In [6] and [8] we showed that centralisers (that is operators commuting with multiplication) on certain Banach algebras are necessarily continuous. In the present paper we consider whether an operator on a Banach space commuting with a continuous or a closed operator must itself be continuous.
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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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Continuous-Like Linear Operators on Bilinear Spaces
Journal of Mathematical and Fundamental Sciences, 2020 This paper introduces continuous-like linear operators on bilinear spaces as a generalization of continuous linear operators on Hilbert spaces. It is well known that the existence of the adjoint of a linear operator on a Hilbert space is equivalent to ...
Sabarinsyah Sabarinsyah +2 more
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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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Dynamics of multivalued linear operators
Open Mathematics, 2017 We introduce several notions of linear dynamics for multivalued linear operators (MLO’s) between separable Fréchet spaces, such as hypercyclicity, topological transitivity, topologically mixing property, and Devaney chaos.
Chen Chung-Chuan +3 more
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