Results 21 to 30 of about 5,164,048 (315)

About Some Linear Operators

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
doaj   +1 more source

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.
openaire   +1 more source

Orthogonality of bounded linear operators on complex Banach spaces [PDF]

, 2017
We study Birkhoff-James orthogonality of bounded linear operators on complex Banach spaces and obtain a complete characterization of the same. By means of introducing new definitions, we illustrate that it is possible in the complex case, to develop a ...
K. Paul, D. Sain, A. Mal, Kalidas Mandal
semanticscholar   +1 more source

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
doaj   +1 more source

Study on the q-analogue of a certain family of linear operators

Turkish Journal of Mathematics, 2019
Inthispaper, weintroducetheq-analogueofacertainfamilyoflinearoperatorsingeometricfunctiontheory. Our main purpose is to define some subclasses of analytic functions by means of the q-analogue of linear operators and investigate various inclusion ...
Shujaat Ali Shah, K. Noor
semanticscholar   +1 more source

An inequality for imaginary parts of eigenvalues of non-compact operators with Hilbert-Schmidt Hermitian components [PDF]

Opuscula 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

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, Hanni Garminia, Pudji Astuti   +2 more
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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
doaj   +1 more source

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
doaj   +1 more source

A Survey on Estimates for the Differences of Positive Linear Operators

Constructive Mathematical Analysis, 2018
We survey some results concerning differences of positive linear operators from Approximation Theory, and present some new results in this direction.
A. Acu, Sever Hodiş, I. Raşa
semanticscholar   +1 more source