Results 151 to 160 of about 25,291 (257)

Stable factorization of the Calderón problem via the Born approximation

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract In this article, we prove the existence of the Born approximation in the context of the radial Calderón problem for Schrödinger operators. The Born approximation naturally appears as the linear component of a factorization of the Calderón problem; we show that the nonlinear part, obtaining the potential from the Born approximation, enjoys ...
Thierry Daudé, Fabricio Macià, Cristóbal Meroño, François Nicoleau   +3 more
wiley   +1 more source

A Reflected–Forward–Backward Splitting Method for Monotone Inclusions Involving Lipschitz Operators in Banach Spaces

Mathematics
The reflected–forward–backward splitting (RFBS) method is well-established for solving monotone inclusion problems involving Lipschitz continuous operators in Hilbert spaces, where it converges weakly under mild assumptions.
Changchi Huang, Jigen Peng, Liqian Qin, Yuchao Tang   +3 more
doaj   +1 more source

The Banach space \(c_0\)

, 2001
The paper is a survey on recent progress on properties of the Banach space \(c_0\). A sequence space characterization is given for a Banach space to be isometric to a subspace of \(c_0\) and its consequences is investigated. It is shown that \(c_0\) is minimal among sufficiently smooth non-reflexive spaces and maximal among asymptotically flat spaces ...
openaire   +1 more source

Kergin approximation in Banach spaces

Journal of Approximation Theory, 2008
We explore the convergence of Kergin interpolation polynomials of holomorphic functions in Banach spaces, which need not be of bounded type. We also investigate a case where the Kergin series diverges.
openaire   +2 more sources

Complex analysis in Banach spaces : holomorphic functions and domains of holomorphy in finite and infinite dimensions /

, 1986
Problems arising from the study of holomorphic continuation and holomorphic approximation have been central in the development of complex analysis in finitely many variables, and constitute one of the most promising lines of research in infinite ...
Mujica, Jorge
core  

Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks

Mathematical Methods in the Applied Sciences, Volume 49, Issue 8, Page 8095-8117, 30 May 2026.
ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley   +1 more source

A new class of weakly $K$-analytic Banach spaces [PDF]

, 2006
summary:In this paper we define and investigate a new subclass of those Banach spaces which are $K$-analytic in their weak topology; we call them strongly weakly $K$-analytic (SWKA) Banach spaces.
Stamati, E., Mercourakis, S.
core  

Convexity in quasi-metric spaces

, 2012
Includes abstract.Includes bibliographical references.The principal aim of this thesis is to investigate the existence of an injective hull in the categories of T-quasi-metric spaces and of T-ultra-quasi-metric spaces with nonexpansive ...
Otafudu, Olivier Olela
core  

Composition operators on Banach function spaces

, 2013
The aim of this thesis is to provide a survey of the topic of composition operators on spaces of (equivalence classes of) measurable functions and attempt to unify some of the most important results contained in the literature.
de Jager, Pierre
core  

Heisenberg-Lie commutation relations in Banach algebras. [PDF]

, 2009
Given q1, q2 ∈ ℂ { 0 }, we construct a unital Banach algebra Bq1, q2 that contains a universal normalised solution to the (q1, q2)-deformed Heisenberg-Lie commutation relations in the following specific ...
Laustsen, Niels Jakob, Silvestrov, Sergei D.   +1 more
core