Results 41 to 50 of about 19,014 (240)
On approximate solution of lattice functional equations in Banach f-algebras
AIMS 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
, 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
The domination theorem for operator classes generated by Orlicz spaces
Mathematische Nachrichten, EarlyView.Abstract We study lattice summing operators between Banach spaces focusing on two classes, ℓφ$\ell _\varphi$‐summing and strongly φ$\varphi$‐summing operators, which are generated by Orlicz sequence lattices ℓφ$\ell _\varphi$. For the class of strongly φ$\varphi$‐summing operators, we prove the domination theorem, which complements Pietsch's ...
D. L. Fernandez +3 more
wiley +1 more source
Domination and Kwapień’s factorization theorems for positive Cohen p–nuclear m–linear operators
Moroccan 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
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract In subwavelength physics, a challenging problem is to characterise the spectral properties of finite systems of subwavelength resonators. In particular, it is important to identify localised modes as well as bandgaps and associated mobility edges.
Habib Ammari +2 more
wiley +1 more source
Weak Compactness of Almost Limited Operators
Journal of Function Spaces, 2014 This paper is devoted to the relationship between almost limited operators and weakly compact operators. We show that if F is a σ-Dedekind complete Banach lattice, then every almost limited operator T:E→F is weakly compact if and only if E is reflexive ...
Aziz Elbour +2 more
doaj +1 more source
Komlós properties in Banach lattices [PDF]
Acta Mathematica Hungarica, 2018 Several Koml s like properties in Banach lattices are investigated. We prove that $C(K)$ fails the $oo$-pre-Koml s property, assuming that the compact Hausdorff space $K$ has a nonempty separable open subset $U$ without isolated points such that every $u\in U$ has countable neighborhood base.
Eduard Yu. Emel'yanov +2 more
openaire +3 more sources
Property (T) for groups acting on affine buildings
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3151-3162, October 2025.Abstract We prove that a group acting geometrically on a thick affine building has property (T). A more general criterion for property (T) is given for groups acting on partite complexes.
Izhar Oppenheim
wiley +1 more source
Unbounded order convergence in dual spaces [PDF]
, 2017 A net $(x_\alpha)$ in a vector lattice $X$ is said to be {unbounded order convergent} (or uo-convergent, for short) to $x\in X$ if the net $(\abs{x_\alpha-x}\wedge y)$ converges to 0 in order for all $y\in X_+$.
Gao, Niushan
core
Disjointly homogeneous Banach lattices and applications
, 2015 This is a survey on disjointly homogeneous Banach lattices and their applicactions. Several structural properties of this class are analyzed. In addition we show how these spaces provide a natural framework for studying the compactness of powers of ...
Flores, Julio +2 more
core +1 more source