Results 21 to 30 of about 848,867 (301)
An inequality for imaginary parts of eigenvalues of non-compact operators with Hilbert-Schmidt Hermitian components [PDF]
Let \(A\) 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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POINTS OF RETRACTION INTO CONE AND VORONOVSKAYA TYPE THEOREMS
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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Pareto vectors of continuous linear operators
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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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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On some geometric properties of operator spaces
In this paper we study some geometric properties like parallelism, orthogonality and semi-rotundity in the space of bounded linear operators. We completely characterize parallelism of two compact linear operators between normed linear spaces $\mathbb{X} $
Mal, Arpita+2 more
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A complete characterization of Birkhoff-James orthogonality in infinite dimensional normed space
In this paper, we study Birkhoff-James orthogonality of bounded linear operators and give a complete characterization of Birkhoff-James orthogonality of bounded linear operators on infinite dimensional real normed linear spaces.
Mal, Arpita+2 more
core +1 more source
Extension of linear operators with applications
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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Singularly perturbed rank one linear operators
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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Probabilistic Norms for Linear Operators
We use the definition of probabilistic normed space (briefly, PN space) proposed by Alsina, Schweizer and Sklar and investigate the properties of different spaces of linear operators between PN spaces. Because PN spaces are not necessarily topological linear spaces, the set of bounded linear operators and the set of continuous and bounded linear ...
B. Lafuerza Guillén+2 more
openaire +5 more sources
Sequences of linear operators related to Cesàro-convergent sequences
Given a Cesàro-convergent sequence of real numbers\((a_{n})_{n\in \mathbb{N}}\), a sequence \((\varphi_{n})_{n\in\mathbb{N}}\) of operators is defined on the Banach space \(\mathcal{R}(I,F)\) of regular functions defined on \(I=[0,1]\) and having values ...
Mira-Cristiana Anisiu, Valeriu Anisiu
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