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An approach based on fractional-order Lagrange polynomials for the numerical approximation of fractional order non-linear Volterra-Fredholm integro-differential equations
This article discussed and analyzed a numerical technique based on fractional-order Lagrange polynomials to solve a class of fractional-order...
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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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Pareto vectors of continuous linear operators
The intersection of all zero-neighborhoods in a topological module over a topological ring is a bounded and closed submodule whose inherited topology...
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Multipliers and equivalence of functions, spaces, and operators
By interpreting the well-known Brown–Halmos theorem for Toeplitz operators in terms of multipliers, we formulate a Brown–Halmos analogue for the...
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On the perturbation of pseudo-generalized invertible operators
This paper is a continuation of previous works Lahmar (Filomat 36:2551-2572, 2022), Lahmar (Filomat 36: 4575–4590, 2022), Lahmar (Preprint) where we...
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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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On Solvability in the Sense of Sequences for some Non-Fredholm Operators with Drift and Anomalous Diffusion
We study the solvability of certain linear nonhomogeneous elliptic equations and establish that, under some technical assumptions, the L 2 -convergence...
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On Singular Integral Operators with Shifts
Given p ∈ (1, ∞), the chapter is devoted to studying the Fredholmness on the space Lp( Γ) for the singular integral operator with shift...
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Infinite-dimensional distances and divergences between positive definite operators, Gaussian measures, and Gaussian processes
This paper presents a survey of recent results on the generalization of distances and divergences on the set of symmetric, positive definite (SPD)...
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Almost Invertible Operators
This paper aims to provide a thorough characterization of the family of all Cantor-Bendixson derivatives of the spectrum, Browder spectrum, and the...
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Weighted Composition Operators That Preserve Frames On Weighted Hardy Spaces
In this paper, we characterize weighted composition operators that preserve frames on the weighted Hardy spaces in the unit disk. In particular, we...
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On S-Weyl’s theorem and property (t) for some classes of operators
In this paper we consider two new variants of the classical Weyl ’s theorem for operators defined on Banach spaces. These variants called S -Weyl’s...
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Weighted composition operators on discrete weighted Banach spaces
We study weighted composition operators on weighted Banach spaces over unbounded, locally finite metric spaces. We characterize the operators that...
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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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Linear Operators and Equations with Partial Integrals
We consider linear operators and equations with partial integrals in Banach ideal spaces, spaces of vector functions, and spaces of continuous...
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Finite Sections of Periodic Schrödinger Operators
We study discrete Schrödinger operators H with periodic potentials as they are typically used to approximate aperiodic Schrödinger operators like the...
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On some classes of Saphar type operators
In this paper we define and study operators of Saphar type in a Banach space, their subclasses, essentially left (right) Drazin invertible operators...
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Solvability in the sense of sequences for some logarithmic Schrödinger operators in higher dimensions
We study the solvability of certain linear nonhomogeneous equations containing the logarithm of the sum of the two Schrödinger operators in higher...
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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),...