Results 21 to 30 of about 1,337 (221)

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

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

L-Dunford–Pettis and Almost L-Dunford–Pettis Sets in Dual Banach Lattices

International Journal of Analysis and Applications, 2018
Following the concept of L–limited sets in dual Banach spaces introduced by Salimi and Moshtaghioun, we introduce the concepts of L–Dunford–Pettis and almost L–Dunford–Pettis sets in dual Banach lattices and then by a class of operators on Banach ...
Halimeh Ardakani, Manijeh Salimi
doaj   +2 more sources

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

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

Renorming Dual Banach Lattices [PDF]

Proceedings of the American Mathematical Society, 1982
We show that a Banach lattice is order continuous as well as its dual if and only if it admits an equivalent Fréchet differentiable and locally uniformly convex lattice norm such that its dual norm is also locally uniformly convex.
openaire   +2 more sources

On the Quotients of Regular Operators

Universal Journal of Mathematics and Applications, 2019
We give some results about quotients of regular operators on Banach lattices by the linear span of the positive M-weakly and positive L-weakly compact operators.
Erdal Bayram, Cansu Binnaz Binbaşıoğlu   +1 more
doaj   +1 more source