Results 1 to 10 of about 3,269 (62)

λ-Commuting of bounded linear operators on ultrametric Banach spaces and determinant spectrum of ultrametric matrices

open access: yesTopological Algebra and its Applications, 2023
In this article, we study the λ\lambda -commuting of bounded linear operators on ultrametric Banach spaces and the determinant spectrum of ultrametric matrices.
Ettayb Jawad
doaj   +1 more source

Linear operators with vector masks in digital image processing problems

open access: yesКомпьютерная оптика, 2023
The paper shows that it is expedient to use vector masks for solving some types of digital image processing problems. The main advantage of vector masks compared to matrix masks is that they reduce the computational complexity of algorithms while ...
A.I. Novikov, A.V. Pronkin
doaj   +1 more source

The task of integral geometry with measure induction [PDF]

open access: yesКомпьютерные исследования и моделирование, 2011
A new statement of Integral Geometry problem where the image of function in each point is taken as an integral with respect to measure which depends on the point is suggested. Such Measure System is named Measure Induction.
A. V. Koganov
doaj   +1 more source

Decomposition of Linear Operators on Pre-Euclidean Spaces by Means of Graphs

open access: yesMathematics, 2023
In this work, we study a linear operator f on a pre-Euclidean space V by using properties of a corresponding graph. Given a basis B of V, we present a decomposition of V as an orthogonal direct sum of certain linear subspaces {Ui}i∈I, each one admitting ...
Hani Abdelwahab   +3 more
doaj   +1 more source

Simple eigenvectors of unbounded operators of the type “normal plus compact” [PDF]

open access: yesOpuscula Mathematica, 2015
The paper deals with operators of the form \(A=S+B\), where \(B\) is a compact operator in a Hilbert space \(H\) and \(S\) is an unbounded normal one in \(H\), having a compact resolvent.
Michael Gil'
doaj   +1 more source

Dilatations of Linear Operators

open access: yesСовременная математика: Фундаментальные направления, 2020
The article is devoted to building various dilatations of linear operators. The explicit construction of a unitary dilation of a compression operator is considered.
Yu. L. Kudryashov
doaj   +1 more source

On approximation properties of some non-positive Bernstein-Durrmeyer type operators

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
In this paper we shall introduce a new type of Bernstein Durrmeyer operators which are not positive on the entire interval [0, 1]. For these operators we will study the uniform convergence on all continuous functions on [0, 1] as well as a result given ...
Vasian Bianca Ioana
doaj   +1 more source

Factorization method for solving nonlocal boundary value problems in Banach space

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
This article deals with the factorization and solution of nonlocal boundary value problems in a Banach space of the abstract form B1 u = A u - S Φ( u )- G Ψ(A0 u) = f, u ∈ D (B1) , where A, A0 are linear abstract operators, S, G are vectors of functions,
I.N. Parasidis, E. Providas
doaj   +1 more source

Linear maps preserving $A$-unitary operators [PDF]

open access: yesMathematica 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
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

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