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Linear and Nonlinear Non-Fredholm Operators Theory and Applications
This book is devoted to a new aspect of linear and nonlinear non-Fredholm operators and its applications. The domain of applications of theory...
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Non-Fredholm Schrödinger type operators
We study solvability of some linear nonhomogeneous elliptic problems.
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Solvability in the sense of sequences for some non-Fredholm operators with the logarithmic Laplacian
We establish the solvability of certain linear nonhomogeneous equations and demonstrate that under reasonable technical conditions the convergence in
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Solvability in the sense of sequences: non-Fredholm operators
We recall (see also section 1.6) that a linear operator L acting from a Banach space E into another Banach space F satisfies the Fredholm property if...
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Mellin Pseudodifferential Operators and Singular Integral Operators with Complex Conjugation
The paper is devoted to studying Banach algebras \({\mathfrak B}_{SO}\)...
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Spectrum of weighted composition operators part VIII lower semi-Fredholm spectrum of weighted composition operators on C(K). The case of non-invertible surjections
We describe lower semi-Fredholm and Fredholm spectra of weighted composition operators on C ( K ) in the case when the corresponding map is an open map...
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Solvability in the Sense of Sequences for Some non Fredholm Operators with the Bi-Laplacian
We study solvability of some linear nonhomogeneous elliptic problems and prove that under reasonable technical conditions the convergence in...
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Analysis on Noncompact Manifolds and Index Theory: Fredholm Conditions and Pseudodifferential Operators
We provide Fredholm conditions for compatible differential operators on certain Lie manifolds (that is, on certain possibly non-compact manifolds...
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Solvability in the Sense of Sequences for Some Non-Fredholm Operators with Drift
We study solvability of certain linear nonhomogeneous elliptic equations and prove that under reasonable technical conditions the convergence in...
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Solvability of Some Systems of Non-Fredholm Integro-Differential Equations with Mixed Diffusion
We prove the existence in the sense of sequences of solutions for some system of integro-differential type equations in two dimensions containing the...
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Some results of essential spectra of sum of two bounded linear operators in non-Archimedean Banach space
In this paper, we extend some aspects of the essential spectra theory of linear operators acting in non-Archimedean (or p-adic) Banach spaces. In...
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Multiplication operators in BV spaces
The aim of this paper is to provide necessary and sufficient conditions on the generator of a multiplication operator acting in the spaces of...
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Compact Operators
Compactness of an operator goes one step beyond continuity. Its treatment is fundamental in many areas in Applied Analysis, particularly Differential...
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Solvability in the Sense of Sequences for Some Non-Fredholm Operators in Higher Dimensions
We study solvability of certain linear nonhomogeneous elliptic problems and establish that under reasonable technical assumptions the convergence in...
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Fredholm integral equations with non-smooth kernels in weighted spaces: Nyström approximations, stability and convergence
This paper deals with the numerical solution of Fredholm integral equations of the second kind with endpoint algebraic singularities and with a...
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Numerical scheme for singularly perturbed Fredholm integro-differential equations with non-local boundary conditions
This paper solves a class of Fredholm integro-differential equations involving a small parameter with integral boundary conditions numerically. The...
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On the class of almost order Fredholm operators
In the current research paper, motivated by Fredholm theory, we introduce new classes of operators acting on Banach lattice spaces, called almost...
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On Generalized Fredholm Operators in a Right Quaternionic Hilbert Space
The purpose of this paper, is to study and investigate a larger class of operators than the Fredholm ones, is the so-called, generalized Fredholm...
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One-sided invertibility of Toeplitz operators on the space of all holomorphic functions on finitely connected domains
We prove that if the symbol of a Toeplitz operator acting on the space of all holomorphic functions on a finitely connected domain is non-degenerate...
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Existence of solutions for some non-Fredholm integro-differential equations with mixed diffusion
We establish the existence in the sense of sequences of solutions for certain integro-differential type equations in two dimensions involving the...