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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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Left and Right B-Fredholm Operators
We introduce the families of left and right B-Fredholm operators in a Banach space, realize their stabilization with the help of finite-rank...
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Some results on upper semi-Fredholm operators on Banach lattices
We study the class of upper semi-Fredholm operators acting between Banach lattices. It focuses on the domination of such operators by compact,...
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Fredholm and Frame-Preserving Weighted Composition Operators
We characterize Fredholm and frame-preserving weighted composition operators on some general Hilbert spaces of holomorphic functions in bounded...
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Quantitative Characterizations of Bounded Compact Approximation Property by Semi-Fredholm Operators
Based on a characterization of upper semi-Fredholm operators due to A. Lebow and M. Schechter, we introduce and investigate a new quantity...
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Fredholm Weighted Composition Operators Between Lipschitz Algebras
Let X and Y be (not necessarily compact) metric spaces. We provide a complete description of Fredholm weighted composition operators between...
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A Priori Estimates and Fredholm Criteria for a Class of Regular Hypoelliptic Operators
AbstractWe study the Fredholm property of regular hypoelliptic operators with special variable coefficients. In this paper, necessary and sufficient...
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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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On a algebraic characterization of the generalized Fredholm operators
We will give an algebraic characterization of generalized Fredholm operators in terms of projections by means of Schmoeger (Demonstr Math...
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On generalized semi B-Fredholm operators
In this paper we study two new classes of bounded linear operators acting on a Banach space X called lower semi B-Fredholm generalized operators and...
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Spectral Analysis of Perturbed Fredholm Operators
In this proposed paper, we use a newly introduced perturbation concept in the literature originated by M. Mbekhta in J. Oper. Theo. 51, 3–18, 2004),...
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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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Some new results about order Fredholm theory in Banach lattices
This paper aims to introduce and study a new generalized class of semi-Fredholm operators acting between Banach lattices called order semi-Fredholm...
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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: 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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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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Mellin Pseudodifferential Operators and Singular Integral Operators with Complex Conjugation
The paper is devoted to studying Banach algebras \({\mathfrak B}_{SO}\)...