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The Daugavet Equation: Linear and Nonlinear Recent Results
A bounded linear operator \( T:\mathcal{X}\to \mathcal{X} \)...
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Daugavet property in projective symmetric tensor products of Banach spaces
We show that all the symmetric projective tensor products of a Banach space X have the Daugavet property provided X has the Daugavet property and...
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Numerical Index and Daugavet Property of Operator Ideals and Tensor Products
We show that the numerical index of any operator ideal is less than or equal to the minimum of the numerical indices of the domain space and the...
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Generalized Polynomial Method for Solving a Cauchy-Type Problem for one Fractional Differential Equation
In this paper, we examine a Cauchy-type problem for one ordinary differential equation with Riemann–Liouville fractional derivatives. For this...
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On A-Parallelism and A-Birkhoff–James Orthogonality of Operators
In this paper, we establish several characterizations of the A -parallelism of bounded linear operators with respect to the seminorm induced by a...
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On a generalisation of Local Uniform Rotundity
In this paper we investigate the property (HLUR), a generalisation of (LUR) property of a Banach space. A Banach space having the property (HLUR) is...
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Matrix and Operator Equations and Applications
This book concerns matrix and operator equations that are widely applied in various disciplines of science to formulate challenging problems and...
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Banach spaces which always produce octahedral spaces of operators
We characterise those Banach spaces X which satisfy that L ( Y , X ) is octahedral for every non-zero Banach space Y . They are those satisfying that, for...
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Weakly compactly generated spaces and their relatives III
Projectional resolutions of the identity were a fundamental tool for elucidating the structure of WCG spaces, and one of the fundamental...
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On the Lipschitz numerical index of Banach spaces
In this article, we investigate further on the Lipschitz numerical radius and index which were recently introduced. First, we provide some renorming...
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Operator Norm Attainment
Linear operators lie at the very heart of functional analysis and operator theory. As mentioned in the Preface, this monograph aims at exploring the...
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On Discrete Boundary-Value Problems and Their Approximation Properties
Discrete analogs of pseudo-differential operators and equations in discrete Sobolev–Slobodetsky spaces are considered. Using suitable discrete...
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Numerical Assessment of the Informational Influence of Election Campaigns on the Electorate
A numerical scheme is developed for the assessment of the informational influence of election campaigns on the electorate. It relies on the...
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Application of the Barycentric Method to Electromagnetic Wave Diffraction on Arbitrarily Shaped Screens
The barycentric method is applied to numerical solution of electromagnetic wave diffraction on screens of arbitrary shape. The main assumption...
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