Results 41 to 50 of about 6,185,996 (263)

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

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

Probabilistic Norms for Linear Operators

Journal 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, J. A. Rodríguez Lallena, SEMPI, Carlo   +2 more
openaire   +5 more sources

Sequences of linear operators related to Cesàro-convergent sequences

Journal 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

Right eigenvalue equation in quaternionic quantum mechanics

, 2000
We study the right eigenvalue equation for quaternionic and complex linear matrix operators defined in n-dimensional quaternionic vector spaces. For quaternionic linear operators the eigenvalue spectrum consists of n complex values.
Adler S L, Aslaksen H, Brenner J L, Cohen N, Cohn P M, De Leo S, De Leo S, De Leo S, De Leo S, De Leo S, De Leo S, De Leo S, De Leo S, De Leo S, De Leo S, De Leo S, De Leo S, De Leo S, De Leo S, De Leo S, De Leo S, Dixon G M, Dray T, Ducati G Quaternions in mathematics, Finkelstein D, Finkelstein D, Finkelstein D, Finkelstein D, Giuseppe Scolarici, Gürsey F, Hamilton W R, Hamilton W R, Horwitz L P, Lee H C, Rembielinski J, Scolarici G, Stefano De Leo   +36 more
core   +2 more sources

Resolvent of the parallel composition and proximity operator of the infimal postcomposition [PDF]

arXiv, 2021
In this paper we provide the resolvent computation of the parallel composition of a maximally monotone operator by a linear operator under mild assumptions. Connections with a modification of the warped resolvent are provided. In the context of convex optimization, we obtain the proximity operator of the infimal postcomposition of a convex function by ...
arxiv  

The degree of nondensifiability of linear bounded operators and its applications

Applied General Topology
In the present paper we define the degree of nondensifiability (DND for short) of a bounded linear operator T on a Banach space and analyze its properties and relations with the Hausdorff measure of non-compactness (MNC for short) of T. As an application
Gonzalo García, Gaspar Mora
doaj   +1 more source

On New Classes of Stancu-Kantorovich-Type Operators

Mathematics, 2021
The present paper introduces new classes of Stancu–Kantorovich operators constructed in the King sense. For these classes of operators, we establish some convergence results, error estimations theorems and graphical properties of approximation for the ...
Bianca Ioana Vasian, Ștefan Lucian Garoiu, Cristina Maria Păcurar   +2 more
doaj   +1 more source

Rolewicz-type chaotic operators

, 2015
In this article we introduce a new class of Rolewicz-type operators in l_p, $1 \le p < \infty$. We exhibit a collection F of cardinality continuum of operators of this type which are chaotic and remain so under almost all finite linear combinations ...
Bongiorno, D., Darji, U. B., Di Piazza, L.   +2 more
core   +1 more source

Linear maps preserving parallel matrix pairs with respect to the Ky-Fan $k$-norm [PDF]

arXiv, 2023
Two bounded linear operators $A$ and $B$ are parallel with respect to a norm $\|\cdot\|$ if $\|A+\mu B\| = \|A\| + \|B\|$ for some scalar $\mu$ with $|\mu| = 1$. Characterization is obtained for bijective linear maps sending parallel bounded linear operators to parallel bounded linear operators with respect to the Ky-Fan $k$-norms.
arxiv