Results 1 to 10 of about 289 (115)
On Analytic Perturbations of Linear Equations in the Case of Incomplete Generalized Jordan Set
Современная математика: Фундаментальные направления, 2022 Based on the methods of the theory of bifurcations, the problem of perturbation of linear equations by small analytic terms is considered. In contrast to the work of Trenogin [7], the case of an incomplete generalized Jordan set of a linear Fredholm ...
D. G. Rakhimov, D. Akhmadzhanova
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Some special characterisations of Fredholm operators in Banach space
Bibechana, 2014 A bounded linear operator which has a finite index and which is defined on a Banach space is often referred to in the literature as a Fredholm operator. Fredholm operators are important for a variety of reasons, one being the role that their index plays
Mahendra Shahi
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Regularised discretisations obtained from first‐kind Fredholm operator equations
IET Microwaves, Antennas & Propagation, 2021 Judicious discretisations of certain first‐kind Fredholm operator equations are tantamount to Fredholm infinite‐matrix equations of the second kind. We give detailed explanations for the occurrence of this interesting and useful phenomenon and carefully ...
George Fikioris
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Axioms, 2022 This article investigates an equation with a rapidly oscillating inhomogeneity and with a rapidly decreasing kernel of an integral operator of Fredholm type.
Dana Bibulova +2 more
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Bibechana, 2012 The Fredholm Alternative Theorem gives the notion of bounded and continuous operator which makes a family F of elements of C[a, b] bounded and equicontinuous. A continuous operator of finite rank is completely continuous but every continuous operator is
GK Palei, NP Sah
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On the quasi-Fredholm and Saphar spectrum of strongly continuous Cosine operator function
Moroccan Journal of Pure and Applied Analysis, 2021 Let (C(t))t∈ be a strongly continuous cosine family and A be its infinitesimal generator. In this work, we prove that, if C(t) – coshλt is Saphar (resp. quasi-Fredholm) operator and λt /∉iπ, then A – λ2 is also Saphar (resp.
Boua Hamid
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Algorithms, 2023 Integro-differential equations involving Volterra and Fredholm operators (VFIDEs) are used to model many phenomena in science and engineering. Nonlocal boundary conditions are more effective, and in some cases necessary, because they are more accurate ...
Efthimios Providas +1 more
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Fredholm Operators: A Counterexample [PDF]
Proceedings of the American Mathematical Society, 1969 In 1960 Pietsch [I] gave an example of a locally convex linear topological space for which the set of Fredholm operators is not open. It is the purpose of this note to show that the Fredholm class is not open for any weak locally convex space. A Hausdorff locally convex space is called a weak locally convex space if every null-neighborhood contains a ...
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Elliptic operators and their symbols
Demonstratio Mathematica, 2019 We consider special elliptic operators in functional spaces on manifolds with a boundary which has some singular points. Such an operator can be represented by a sum of operators, and for a Fredholm property of an initial operator one needs a Fredholm ...
Vasilyev Vladimir
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Fredholm operators on C*-algebras [PDF]
Acta Scientiarum Mathematicarum, 2017 The aim of this note is to generalize the notion of Fredholm operator to an arbitrary $C^*$-algebra. Namely, we define "finite type" elements in an axiomatic way, and also we define Fredholm type element $a$ as such element of a given $C^*$-algebra for which there are finite type elements $p$ and $q$ such that $(1-q)a(1-p)$ is "invertible".
Kečkić, Dragoljub J., Lazović, Zlatko
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