Results 21 to 30 of about 500,094 (203)
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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Newton's Method for Solving Hilfer Fractional Volterra-Fredholm Integro Differential Equations [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, we apply Newton's method to solve a class of integro-differential equations of the Volterra-Fredholm type with nonlocal characteristics, involving almost sectorial operators and Hilfer fractional derivatives.
karim Ivaz, Ismael Alassadi
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The Atkinson Theorem in Hilbert C*-Modules over C*-Algebras of Compact Operators
Abstract and Applied Analysis, 2007 The concept of unbounded Fredholm operators on Hilbert C*-modules over an arbitrary C*-algebra is discussed and the Atkinson theorem is generalized for bounded and unbounded Feredholm operators on Hilbert C*-modules over C*-algebras of compact operators.
A. Niknam, K. Sharifi
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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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Linear Operators and Equations with Partial Integrals
Современная математика: Фундаментальные направления, 2019 We consider linear operators and equations with partial integrals in Banach ideal spaces, spaces of vector functions, and spaces of continuous functions. We study the action, regularity, duality, algebras, Fredholm properties, invertibility, and spectral
A S Kalitvin, V A Kalitvin
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A Simple Proof of the Fredholm Alternative and a Characterization of the Fredholm Operators [PDF]
The American Mathematical Monthly, 2001 Let $A$ be a linear bounded operator in a Hilbert space $H$, $N(A)$ and $R(A)$ its null-space and range, and $A^*$ its adjoint.
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Left and Right B-Fredholm Operators
Ukrainian Mathematical Journal, 2022 UDC 517.9 We introduce the families of left and right B-Fredholm operators in Banach space, realize their stabilization with the help of finite-rank operators, and prove a spectral mapping theorem for the left and right B-Fredholm operators.
Abdmouleh, F., Lakhal, T. Ben
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Advances in Difference Equations, 2018 In this paper, we derive a new generalized Volterra–Fredholm integral inequality and use it to study the dependence of solutions on the initial data for a class of fractional differential equations with Fredholm integral operators.
Xiao-Li Ding, Bashir Ahmad
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Mathematics, 2021 The main aim of this paper is to numerically solve the first kind linear Fredholm and Volterra integral equations by using Modified Bernstein–Kantorovich operators.
Suzan Cival Buranay +2 more
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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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