In [2] Seong Sik Kim, Yed Je Cho, Albert White consider the properties of 2–bounded operators from a norrned space (X, ǁ · ǁ) into a 2–normed space (X, ǁ· , ·ǁ). In this paper we will investigate ...

Compact and weakly compact operators on function spaces are studied. Those operators are characterized by properties of finitely additive set functions whose existence is guaranteed by Riesz ...

Linear operators form the cornerstone of analysis in Banach spaces, offering a framework in which one can rigorously study continuity, spectral properties and stability. Banach space theory, with its ...

Abstract: This study focuses on analyzing the convergence of the product of sequences and investigating the Cauchy sequences under specific conditions within neutrosophic normed linear spaces (NNLS).

Linear operators form the backbone of modern mathematical analysis and have become indispensable in characterising the behaviour of dynamical systems. At their core, these operators are functions that ...

The authors declare no conflicts of interest. [1] S. D. Bernardi, “Convex and Starlike Univalent Functions,” Transactions of the American Mathematical Society ...

We demonstrate the application of data-driven linear operator construction for time advance with a goal of accelerating plasma physics simulation. We apply dynamic mode decomposition (DMD) to data ...

Abstract: In this paper, we propose a data-driven approach for uncertainty moment propagation through the non-linear power system dynamics. The proposed approach relies on the linear representation of ...

Spot is a Matlab toolbox for the construction, manipulation, and application of linear operators. The aim of the Spot Toolbox is to bring the expressiveness of Matlab's built-in matrix notation to ...

PyLops is an open-source Python library focused on providing a backend-agnostic, idiomatic, matrix-free library of linear operators and related computations. It is inspired by the iconic MATLAB Spot – ...