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 +2 more sources
Fuzzy differential subordinations connected with the linear operator [PDF]
Mathematica Bohemica, 2021 We obtain several fuzzy differential subordinations by using a linear operator $\mathcal{I}_{m,\gamma}^{n,\alpha}f(z)=z+\sum\limits_{k=2}^{\infty}(1+\gamma( k-1))^nm^{\alpha}(m+k)^{-\alpha}a_kz^k$.
Sheza M. El-Deeb, Georgia I. Oros
doaj +1 more source
Subordination and superordination results of p-valent analytic functions involving a linear operator
Boletim da Sociedade Paranaense de Matemática, 2017 In this paper we derive some subordination and superordination results for certain p-valent analytic functions in the open unit disc, which are acted upon by a class of a linear operator.
Tamer M. Seoudy
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Linear Operators That Preserve the Genus of a Graph
Mathematics, 2019 A graph has genus k if it can be embedded without edge crossings on a smooth orientable surface of genus k and not on one of genus k − 1 . A mapping of the set of graphs on n vertices to itself is called a linear operator if the image of a ...
LeRoy B. Beasley +2 more
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L0-Linear Modulus of a Random Linear Operator
Abstract and Applied Analysis, 2014 We prove that there exists a unique L0-linear modulus for an a.s. bounded random linear operator on a specifical random normed module, which generalizes the classical case.
Ming Liu, Xia Zhang
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Equicontinuity, Expansivity, and Shadowing for Linear Operators
Axioms, 2018 We prove that a linear operator of a complex Banach space has a shadowable point if and only if it has the shadowing property. In addition, every equicontinuous linear operator does not have the shadowing property and its spectrum is contained in the ...
Keonhee Lee, C. A. Morales
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Modelling and identification of non-linear deterministic systems in the delta-domain [PDF]
, 2007 This paper provides a formulation for using the delta-operator in the modelling of non-linear systems. It is shown that a unique representation of a deterministic non-linear auto-regressive with exogenous input (NARX) model can be obtained for polynomial
Anderson, S.R., Kadirkamanathan, V.
core +1 more source
A complete characterization of smoothness in the space of bounded linear operators [PDF]
Linear Multilinear Algebra 68 (2020) no.12, 2484-2494, 2018 We completely characterize smoothness of bounded linear operators between infinite dimensional real normed linear spaces, probably for the very first time, by applying the concepts of Birkhoff-James orthogonality and semi-inner-products in normed linear spaces.
arxiv +1 more source
Integral representation of the linear Boltzmann operator for granular gas dynamics with applications [PDF]
, 2007 We investigate the properties of the collision operator associated to the linear Boltzmann equation for dissipative hard-spheres arising in granular gas dynamics.
B. Lods +20 more
core +4 more sources
Spectral analysis for a class of bounded linear operators [PDF]
arXiv, 2022 We study the Spectral Analysis for a class of bounded linear operators T = D + F in a non Archimedean Hilbert space E, where D is a diagonal linear operator and where F is a finite rank linear operator. In this study of the Spectral Analysis, we use extensively the Theory of Fredholm Operators to deduce some of our main results.
arxiv