4.3k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Rhodes UniversityZA66 papers
- Leiden UniversityNL63 papers
- University of GroningenNL63 papers
- University of the WitwatersrandZA63 papers
- South African Radio Astronomy ObservatoryZA58 papers
- Istituto di Radioastronomia di BolognaIT54 papers
- Netherlands Institute for Radio AstronomyNL54 papers
- Centre National de la Recherche ScientifiqueFR50 papers
- National Radio Astronomy ObservatoryUS46 papers
- Max Planck Institute for Radio AstronomyDE45 papers
- University of ArizonaUS44 papers
- University of ChicagoUS44 papers
16 papers · 1 filter
Riesz representation theorems for vector lattices and Banach lattices of regular operators
Marcel de Jeu, Xingni Jiang
For a non-empty locally compact Hausdorff space and a Dedekind complete normal vector lattice , we show that the vector lattice of norm to order bounded operators from ${\te…
Direct limits in categories of normed vector lattices and Banach lattices
Chun Ding, Marcel de Jeu
After collecting a number of results on interval and almost interval preserving linear maps and vector lattice homomorphisms, we show that direct systems in various categories of n…
On spectral gaps of growth-fragmentation semigroups in higher moment spaces
Mustapha Mokhtar-Kharroubi, Jacek Banasiak
We present a general approach to proving the existence of spectral gaps and asynchronous exponential growth for growth-fragmentation semigroups in moment spaces $L^{1}(\mathbb{R}_{…
Riesz representation theorems for positive linear operators
Marcel de Jeu, Xingni Jiang
We generalise the Riesz representation theorems for positive linear functionals on and , where is a locally compact Hausd…
Order Integrals
Marcel de Jeu, Xingni Jiang
We define an integral of real-valued functions with respect to a measure that takes its values in the extended positive cone of a partially ordered vector space . The monotone c…
Convergence structures and Hausdorff uo-Lebesgue topologies on vector lattice algebras of operators
Yang Deng, Marcel de Jeu
A vector sublattice of the order bounded operators on a Dedekind complete vector lattice can be supplied with the convergence structures of order convergence, strong order converge…
Convergence structures and locally solid topologies on vector lattices of operators
Yang Deng, Marcel de Jeu
For vector lattices and , where is Dedekind complete and supplied with a locally solid topology, we introduce the corresponding locally solid absolute strong operator to…
Vector lattices with a Hausdorff uo-Lebesgue topology
Yang Deng, Marcel de Jeu
We investigate the construction of a Hausdorff uo-Lebesgue topology on a vector lattice from a Hausdorff (o)-Lebesgue topology on an order dense ideal, and what the properties of t…
Equivalence after extension and Schur coupling do not coincide, on essentially incomparable Banach spaces
Sanne ter Horst, Miek Messerschmidt, Andre C. M. Ran +1
In 1994 H. Bart and V.É. Tsekanovskii posed the question whether the Banach space operator relations matricial coupling (MC), equivalence after extension (EAE) and Schur coupling (…
Best proximity point results for almost contraction and application to nonlinear differential equation
Azhar Hussain, Mujahid Abbas, Muhammad Adeel +1
Brinde [Approximating fixed points of weak contractions using the Picard itration, Nonlinear Anal. Forum 9 (2004), 43-53] introduced almost contraction mappings and proved Banach c…
On order continuous duals of vector lattices of continuous functions on resolvable spaces
Marcel de Jeu, Jan Harm van der Walt
A topological space is called resolvable if it contains a dense subset with dense complement. Using only basic principles, we show that whenever the space has a resolving s…
Angular equivalence of normed spaces
Eder Kikianty, Gord Sinnamon
Angular equivalence is introduced and shown to be an equivalence relation among the norms on a fixed real vector space. It is a finer notion than the usual (topological) notion of…
Strong Klee-Andô Theorems through an Open Mapping Theorem for cone-valued multi-functions
Miek Messerschmidt
A version of the classical Klee-Andô Theorem states the following: For every Banach space , ordered by a closed generating cone , there exists some so that,…
Discrete Morrey spaces and their generalizations
Hendra Gunawan, Eder Kikianty, Christopher Schwanke
We discuss discrete Morrey spaces and their generalizations, and we prove necessary and sufficient conditions for the inclusion property among these spaces through an estimate for…
The UMD constants of the summation operators
Jörg Wenzel
The UMD property of a Banach space is one of the most useful properties when one thinks about possible applications. This is in particular due to the boundedness of the vector-valu…
Linear maps between C*-algebras whose adjoints preserve extreme points of the dual ball
Louis E. Labuschagne, Vania Mascioni
We give a structural characterisation of linear operators from one % -algebra into another whose adjoints map extreme points of the dual ball onto extreme points. We show t…