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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

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

Recurrent Linear Operators [PDF]

open access: yesComplex Analysis and Operator Theory, 2013
38 pages; final version, incorporates referee's report; to appear in Complex Anal.
Costakis, George   +2 more
openaire   +4 more sources

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

Linear Operator Equations [PDF]

open access: yesProceedings of the American Mathematical Society, 1959
where / is holomorphic on a(u, Ct) — a(v, Ct), and c is a suitable contour. In the present note we study the operator SG® defined by Sx = 'YJi=iuixvi, {ui} and {vj} being commutative subsets of Ct; but it is understood that {uj} need not commute with {vj}. In a generic way, we shall refer to such an operator as an "elementary operator."2 Of course this
Lumer, G., Rosenblum, M.
openaire   +2 more sources

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

Hypercausal Linear Operators [PDF]

open access: yesSIAM Journal on Control and Optimization, 1984
Several different classes of hypercausal operators appear in linear system theory. This paper provides, for each pair of classes of hypercausal operators, necessary and sufficient conditions on the Hilbert resolution space to guarantee equality of the classes. In addition, the effect of similarity transforms on each class is studied.
openaire   +2 more sources

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