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]

open access: yesOpuscula Mathematica
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'
doaj   +1 more source

POINTS OF RETRACTION INTO CONE AND VORONOVSKAYA TYPE THEOREMS

open access: yesTransactions 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
doaj   +1 more source

Pareto vectors of continuous linear operators

open access: yesJournal 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
doaj   +1 more source

About Some Linear Operators

open access: yesInternational 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
doaj   +1 more source

On some geometric properties of operator spaces

open access: yes, 2018
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
core   +1 more source

A complete characterization of Birkhoff-James orthogonality in infinite dimensional normed space

open access: yes, 2018
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

open access: yesActa 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
doaj   +1 more source

Singularly perturbed rank one linear operators

open access: yesМатематичні 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
doaj   +1 more source

Probabilistic Norms for Linear Operators

open access: yesJournal of Mathematical Analysis and Applications, 1998
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

open access: yesJournal of Numerical Analysis and Approximation Theory, 2002
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
doaj   +2 more sources

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