Results 21 to 30 of about 18,769 (170)

Some open problems on Banach spaces [PDF]

open access: yesМатематичні Студії, 2012
Notes of the Problem Session which has been held on the section of Banach Spaces during the International conference dedicated to the 120-th anniversary of Stefan Banach in Lviv (Ukraine), September 17–21, 2012.
A. M. Plichko, M. M. Popov
doaj  

Normality of spaces of operators and quasi-lattices

open access: yes, 2015
We give an overview of normality and conormality properties of pre-ordered Banach spaces. For pre-ordered Banach spaces $X$ and $Y$ with closed cones we investigate normality of $B(X,Y)$ in terms of normality and conormality of the underlying spaces $X ...
Messerschmidt, Miek
core   +1 more source

Nonsmooth and nonlocal differential equations in lattice-ordered Banach spaces

open access: yesBoundary Value Problems, 2005
We derive existence results for initial and boundary value problems in lattice-ordered Banach spaces. The considered problems can be singular, functional, discontinuous, and nonlocal. Concrete examples are also solved.
S. Heikkilä, Siegfried Carl
doaj   +2 more sources

Positive Cohen p-nuclear m-homogeneous polynomials [PDF]

open access: yesSurveys in Mathematics and its Applications, 2023
In this paper we introduce the concept of positive Cohen p-nuclear polynomials between Banach lattice spaces. We give an analogue to Pietsch domination theorem and we study some properties concerning this notion.
Asma Hammou   +3 more
doaj  

On the positive weak almost limited operators

open access: yesArab Journal of Mathematical Sciences, 2015
Using the concept of approximately order bounded sets with respect to a lattice seminorm, we establish some new characterizations of positive weak almost limited operators on Banach lattices.
Nabil Machrafi   +3 more
doaj   +1 more source

Mean ergodicity vs weak almost periodicity

open access: yes, 2018
We provide explicit examples of positive and power-bounded operators on $c_0$ and $\ell^\infty$ which are mean ergodic but not weakly almost periodic. As a consequence we prove that a countably order complete Banach lattice on which every positive and ...
Gerlach, Moritz, Glück, Jochen
core   +1 more source

The Centre of the Spaces of Banach Lattice-Valued Continuous Functions on the Generalized Alexandroff Duplicate

open access: yesAbstract and Applied Analysis, 2011
We characterize the centre of the Banach lattice of Banach lattice 𝐸-valued continuous functions on the Alexandroff duplicate of a compact Hausdorff space 𝐾 in terms of the centre of 𝐶(𝐾,𝐸), the space of 𝐸-valued continuous functions on 𝐾.
Faruk Polat
doaj   +1 more source

On approximate solution of lattice functional equations in Banach f-algebras

open access: yesAIMS Mathematics, 2020
The aim of the current manuscript is to prove the Hyers-Ulam stability of supremum, infimum and multiplication preserving functional equations in Banach f -algebras. In fact, by using the direct method and the fixed point method, the Hyers-Ulam stability
Ehsan Movahednia   +3 more
doaj   +1 more source

Positive representations of $C_0(X)$. I

open access: yes, 2015
We introduce the notion of a positive spectral measure on a $\sigma$-algebra, taking values in the positive projections on a Banach lattice. Such a measure generates a bounded positive representation of the bounded measurable functions.
de Jeu, Marcel, Ruoff, Frejanne
core   +1 more source

Domination and Kwapień’s factorization theorems for positive Cohen p–nuclear m–linear operators

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
In this paper, we introduce and study the concept of positive Cohen p-nuclear multilinear operators between Banach lattice spaces. We prove a natural analog to the Pietsch domination theorem for this class.
Bougoutaia Amar   +2 more
doaj   +1 more source

Home - About - Disclaimer - Privacy