Results 21 to 30 of about 45 (44)

The essential norm of bounded diagonal infinite matrices acting on Banach sequence spaces

Demonstratio Mathematica
We calculate the essential norm of bounded diagonal infinite matrices acting on Köthe sequence spaces. As a consequence of our result, we obtain a recent criteria for the compactness of multiplication operator acting on Köthe sequence spaces.
Fernández Julio C. Ramos, Rivera-Sarmiento María A., Salas-Brown Margot   +2 more
doaj   +1 more source

The class of Banach lattices is not primary

Forum of Mathematics, Sigma
Building on a recent construction of Plebanek and Salguero-Alarcón, which solved the Complemented Subspace Problem for $C(K)$ -spaces, and the subsequent work of De Hevia, Martínez-Cervantes, Salguero-Alarcón, and Tradacete solving the Complemented
Antonio Acuaviva
doaj   +1 more source

Bases for Cones and Reflexivity [PDF]

, 2004
It is proved that a Banach space E is non-reflexive if and only if E has a closed cone with an unbounded, closed, dentable base. If E is a Banach lattice, the same characterization holds with the extra assumption that the cone is contained in E ...
Polyrakis, Ioannis A
core  

Some results on disjointly weakly compact sets

Demonstratio Mathematica
We give an operator characterization of disjointly weakly compact sets and show that disjointly weakly compact sets coincide with reciprocal Dunford-Pettis sets.
Akay Barış, Gök Ömer
doaj   +1 more source

HLLY'S Theorem in Banach Lattice With order continuous norm in term of a double sequence [PDF]

, 2015
In this paper, we introduce Helly and Helly -Bray theorems in term double sequence in the context of Riesz space with order continuous norm, and we review some of the results that are needed to prove our theorems.         We state some definitions, like
Abed, Saja Fadhil, Bhaya, Eman Samir, Battor, Ali Hussein   +2 more
core   +1 more source

Continuity and essential norm of operators defined by infinite tridiagonal matrices in weighted Orlicz and l∞ spaces

Open Mathematics
In this article, we provide a comprehensive study on the continuity and essential norm of an operator defined by an infinite tridiagonal matrix, specifically when it operates from a weighted Orlicz sequence space or a weighted l∞{l}^{\infty } space into ...
Ramos-Fernández Julio C., Ramos-Salas Carlos J., Salas-Brown Margot   +2 more
doaj   +1 more source

© Hindawi Publishing Corp. ON THE SUBLINEAR OPERATORS FACTORING THROUGH Lq [PDF]

, 2003
Let 0 <p ≤ q ≤+∞.LetTbe a bounded sublinear operator from a Banach space X into an Lp(Ω,µ) and let ∇T be the set of all linear operators ≤ T. In the present paper, we will show the following. Let C be a positive constant. For all u in ∇T, Cpq(u) ≤ C (
Abdelmoumene Tiaiba, Lahcène Mezrag
core  

Maximal function and generalized fractional integral operators on the weighted Orlicz-Lorentz-Morrey spaces

Open Mathematics
We define the weighted Orlicz-Lorentz-Morrey and weak weighted Orlicz-Lorentz-Morrey spaces to generalize the Orlicz spaces, the weighted Lorentz spaces, the Orlicz-Lorentz spaces, and the Orlicz-Morrey spaces.
Li Hongliang
doaj   +1 more source

Should Prediabetes be Treated Pharmacologically? [PDF]

Diabetes Ther, 2023
Davidson MB.
europepmc   +1 more source

Haar null closed and convex sets in separable Banach spaces. [PDF]

Bull Lond Math Soc, 2023
Ravasini D.
europepmc   +1 more source