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Riesz Projection and Essential S-spectrum in Quaternionic Setting
This paper is devoted to the investigation of the Weyl and the essential S -spectra of a bounded right quaternionic linear operator in a right...
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Around Discontinuity for the Riesz Projection in the Uniform Metric
AbstractThe present paper is based on a lecture given by the author at the conference ‘‘Complex Analysis and Related Problems’’ (Kazan, Russia, June...
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The lateral order on Riesz spaces and orthogonally additive operators. II
The present paper aims to describe the relationships between the intersection property, introduced and studied in the previous paper by the authors,...
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Left and right generalized Drazin–Riesz invertible multivalued linear operators
In this paper the notions of left and right generalized Drazin–Riesz invertible linear relations are introduced and studied. For these classes of...
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A Representation Theorem for Archimedean Riesz Spaces
In previous works, Buskes and the author have made use of representations of Archimedean Riesz spaces in terms of real-valued continuous functions...
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An adaptive finite element method for Riesz fractional partial integro-differential equations
The Riesz fractional derivative has been employed to describe the spatial derivative in a variety of mathematical models. In this work, the accuracy...
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Riesz bases by replacement
In this paper we provide a method for constructing new Riesz bases on separable Hilbert spaces and we use it to prove sufficient conditions for the...
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Riesz–Kolmogorov Type Compactness Criteria in Function Spaces with Applications
We present forms of the classical Riesz–Kolmogorov theorem for compactness that are applicable in a wide variety of settings. In particular, our...
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Asymptotics of k-nearest Neighbor Riesz Energies
We obtain new asymptotic results about systems of N particles governed by Riesz interactions involving k -nearest neighbors of each particle as
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Riesz–Kolmogorov Type Compactness Criteria in Function Spaces with Applications
We present forms of the classical Riesz–Kolmogorov theorem for compactness that are applicable in a wide variety of settings. In particular, our...
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Statistical convergence of nets on locally solid Riesz spaces
The statistical convergence is handled for sequences with the natural density, in general. In a recent paper, the statistical convergence for nets...
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Numerical Methods for Solving a Riesz Space Partial Fractional Differential Equation: Applied to Fractional Kinetic Equations
In this paper, we design new numerical methods for solving the partial fractional differential equations. The fractional kinetics equation has been...
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A note on the generalized Drazin–Riesz invertible operators
We study generalized Drazin–Riesz invertible operators. Among other things, we show that if a bounded linear operator T is generalized Drazin–Riesz...
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On the Generalized Drazin–Riesz Inverse for Closed Linear Operators
We introduce and study the generalized Drazin–Riesz inverse for closed linear operators on a Banach space. Among other things, we extend some...
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Spectral Projection Methods for Derivative Dependent Hammerstein Equations with Green’s Kernels
This article proposes projection methods using polynomials for solving nonlinear Hammerstein equations with first derivative dependency and with a Green...