Results 21 to 30 of about 135,605 (213)

Relations and radicals in abstract lattices and in lattices of subspaces of Banach spaces and of ideals of Banach algebras: Amitsur's theory revisited [PDF]

, 2021
We refine Amitsur's theory of radicals in complete lattices and apply the obtained results to the theory of radicals in the lattices of subspaces of Banach spaces and in the lattices of ideals of Banach and C*-algebras and of Banach Lie ...
Shulman, Victor S., Kissin, Edward, Turovskii, Yuri V.   +2 more
core   +1 more source

Komlós properties in Banach lattices [PDF]

Acta Mathematica Hungarica, 2018
Several Komlós like properties in Banach lattices are investigated. We prove that $C(K)$ fails the $oo$-pre-Komlós 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.
Erkursun-Ozcan, NAZİFE, Gorokhova, S. G., Emelyanov, E. Y.   +2 more
openaire   +3 more sources

Compactness properties of bounded subsets of spaces of vector measure integrable functions and factorization of operators

Applied General Topology, 2005
Using compactness properties of bounded subsets of spaces of vector measure integrable functions and a representation theorem for q-convex Banach lattices, we prove a domination theorem for operators between Banach lattices.
Lluís Garcia-Raffi, E.A. Sánchez-Pérez   +1 more
doaj   +1 more source

Some Properties of Unbounded M-Weakly and Unbounded L-Weakly Compact Operators

Journal of Mathematics, 2023
We introduce the class of unbounded M-weakly compact operators and the class of unbounded L-weakly compact operators. We investigate some properties for this new classification of operators, and we study the relation between them and M-weakly compact and
Zahra Niktab, Kazem Haghnejad Azar, Razi Alavizadeh, Saba Sadeghi Gavgani   +3 more
doaj   +1 more source

On Bilinear Narrow Operators

Mathematics, 2021
In this article, we introduce a new class of operators on the Cartesian product of vector lattices. We say that a bilinear operator T:E×F→W defined on the Cartesian product of vector lattices E and F and taking values in a vector lattice W is narrow if ...
Marat Pliev, Nonna Dzhusoeva, Ruslan Kulaev   +2 more
doaj   +1 more source

Some results about unbounded convergences in Banach lattices

پژوهش‌های ریاضی, 2022
Introduction Suppose E is a Banach lattice. A net (xα) in E is said to be unbounded absolute weak convergent (uaw-convergent, for short) to x∈E provided that the net (xα-x˄u) convergences to zero, weakly, whenever u∈E+.
Omid Zabeti
doaj  

On the class of positive disjoint weak $p$-convergent operators [PDF]

Mathematica Bohemica
We introduce and study the disjoint weak $p$-convergent operators in Banach lattices, and we give a characterization of it in terms of sequences in the positive cones. As an application, we derive the domination and the duality properties of the class of
Abderrahman Retbi
doaj   +1 more source

A description of the Stone space of Banach lattice C(K,E)

Journal of Function Spaces and Applications, 2006
We give a topological description of the Stone space of C(K,E), Banach lattices of continuous functions from a compact Hausdorff space K into a Banach lattice E.
Zafer Ercan
doaj   +1 more source

Compactness in asymmetrically normed lattices. [PDF]

, 2012
Includes abstract.Includes bibliographical references.The aim of the thesis is to investigate aspects of the theory of such spaces, concentrating mainly, but not exclusively, on nite dimensional spaces.
Mabula, Mokhwetha Daniel
core   +1 more source

Martingale-like sequences in Banach lattices

Modern Stochastics: Theory and Applications, 2018
Martingale-like sequences in vector lattice and Banach lattice frameworks are defined in the same way as martingales are defined in [Positivity 9 (2005), 437–456].
Haile Gessesse, Alexander Melnikov
doaj   +1 more source